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121122210 = 23511261547
BaseRepresentation
bin1110011100000…
…10110110100010
322102220122102210
413032002312202
5222001402320
620004022550
73000343656
oct716026642
9272818383
10121122210
1162408a00
1234691a56
131c12a961
141212ca66
15a9780e0
hex7382da2

121122210 has 96 divisors (see below), whose sum is σ = 325354176. Its totient is φ = 28828800.

The previous prime is 121122193. The next prime is 121122269. The reversal of 121122210 is 12221121.

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 221157 + ... + 221703.

It is an arithmetic number, because the mean of its divisors is an integer number (3389106).

Almost surely, 2121122210 is an apocalyptic number.

121122210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 121122210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162677088).

121122210 is an abundant number, since it is smaller than the sum of its proper divisors (204231966).

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

121122210 is a wasteful number, since it uses less digits than its factorization.

121122210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 640 (or 629 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

The square root of 121122210 is about 11005.5535980704. The cubic root of 121122210 is about 494.7752065724.

Adding to 121122210 its reverse (12221121), we get a palindrome (133343331).

The spelling of 121122210 in words is "one hundred twenty-one million, one hundred twenty-two thousand, two hundred ten".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 61 66 110 121 122 165 183 242 305 330 363 366 547 605 610 671 726 915 1094 1210 1342 1641 1815 1830 2013 2735 3282 3355 3630 4026 5470 6017 6710 7381 8205 10065 12034 14762 16410 18051 20130 22143 30085 33367 36102 36905 44286 60170 66187 66734 73810 90255 100101 110715 132374 166835 180510 198561 200202 221430 330935 333670 367037 397122 500505 661870 734074 992805 1001010 1101111 1835185 1985610 2202222 3670370 4037407 5505555 8074814 11011110 12112221 20187035 24224442 40374070 60561105 121122210