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20121133120 = 265115716231
BaseRepresentation
bin10010101111010100…
…000010000001000000
31220221021110110122121
4102233110002001000
5312202002224440
613124333414024
71311422544454
oct225724020100
956837413577
1020121133120
118595945140
123a9663a314
131b8880a53a
14d8c418664
157cb6e734a
hex4af502040

20121133120 has 56 divisors (see below), whose sum is σ = 52269225408. Its totient is φ = 7316774400.

The previous prime is 20121133103. The next prime is 20121133157. The reversal of 20121133120 is 2133112102.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 20121133094 and 20121133103.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2854596 + ... + 2861635.

Almost surely, 220121133120 is an apocalyptic number.

20121133120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20121133120 is an abundant number, since it is smaller than the sum of its proper divisors (32148092288).

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

20121133120 is a wasteful number, since it uses less digits than its factorization.

20121133120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5716259 (or 5716249 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 20121133120 its reverse (2133112102), we get a palindrome (22254245222).

The spelling of 20121133120 in words is "twenty billion, one hundred twenty-one million, one hundred thirty-three thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 64 80 88 110 160 176 220 320 352 440 704 880 1760 3520 5716231 11432462 22864924 28581155 45729848 57162310 62878541 91459696 114324620 125757082 182919392 228649240 251514164 314392705 365838784 457298480 503028328 628785410 914596960 1006056656 1257570820 1829193920 2012113312 2515141640 4024226624 5030283280 10060566560 20121133120