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121100102121222 = 232737242511071131
BaseRepresentation
bin11011100010001111010000…
…100100011011011100000110
3120212210001112100000002122200
4123202033100210123130012
5111333101002120334342
61105320341403135330
734336123265010210
oct3342172044333406
9525701470002580
10121100102121222
113564a2a0635404
12116ba017214546
1352758c940c0b3
1421c93c1d1b5b0
15e0015907994c
hex6e23d091b706

121100102121222 has 96 divisors (see below), whose sum is σ = 307984417737984. Its totient is φ = 33663473640000.

The previous prime is 121100102121221. The next prime is 121100102121233. The reversal of 121100102121222 is 222121201001121.

121100102121222 is a `hidden beast` number, since 121 + 100 + 10 + 212 + 1 + 222 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 121100102121195 and 121100102121204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121100102121221) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 112522597 + ... + 113593727.

It is an arithmetic number, because the mean of its divisors is an integer number (3208171018104).

Almost surely, 2121100102121222 is an apocalyptic number.

121100102121222 is an abundant number, since it is smaller than the sum of its proper divisors (186884315616762).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

121100102121222 is a wasteful number, since it uses less digits than its factorization.

121100102121222 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1095434 (or 1095431 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 121100102121222 its reverse (222121201001121), we get a palindrome (343221303122343).

The spelling of 121100102121222 in words is "one hundred twenty-one trillion, one hundred billion, one hundred two million, one hundred twenty-one thousand, two hundred twenty-two".

Divisors: 1 2 3 6 7 9 14 18 21 37 42 63 74 111 126 222 259 333 518 666 777 1554 2331 4662 24251 48502 72753 145506 169757 218259 339514 436518 509271 897287 1018542 1071131 1527813 1794574 2142262 2691861 3055626 3213393 5383722 6281009 6426786 7497917 8075583 9640179 12562018 14995834 16151166 18843027 19280358 22493751 37686054 39631847 44987502 56529081 67481253 79263694 113058162 118895541 134962506 237791082 277422929 356686623 554845858 713373246 832268787 1664537574 2496806361 4993612722 25975997881 51951995762 77927993643 155855987286 181831985167 233783980929 363663970334 467567961858 545495955501 961111921597 1090991911002 1636487866503 1922223843194 2883335764791 3272975733006 5766671529582 6727783451179 8650007294373 13455566902358 17300014588746 20183350353537 40366700707074 60550051060611 121100102121222