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122120232102 = 2321126910612161
BaseRepresentation
bin111000110111011101…
…1101101110010100110
3102200012202202120011100
41301232323231302212
54000100234411402
6132033512220530
711552152563051
oct1615673556246
9380182676140
10122120232102
1147877761960
121b80199a746
13b69253a18b
145ca6b7ba98
15329b1b771c
hex1c6eeedca6

122120232102 has 96 divisors (see below), whose sum is σ = 290128119840. Its totient is φ = 36816768000.

The previous prime is 122120232089. The next prime is 122120232133. The reversal of 122120232102 is 201232021221.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 56509902 + ... + 56512062.

It is an arithmetic number, because the mean of its divisors is an integer number (3022167915).

Almost surely, 2122120232102 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 122120232102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145064059920).

122120232102 is an abundant number, since it is smaller than the sum of its proper divisors (168007887738).

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

122120232102 is a wasteful number, since it uses less digits than its factorization.

122120232102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3510 (or 3507 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 122120232102 its reverse (201232021221), we get a palindrome (323352253323).

The spelling of 122120232102 in words is "one hundred twenty-two billion, one hundred twenty million, two hundred thirty-two thousand, one hundred two".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 198 269 538 807 1061 1614 2122 2161 2421 2959 3183 4322 4842 5918 6366 6483 8877 9549 11671 12966 17754 19098 19449 23342 23771 26631 35013 38898 47542 53262 70026 71313 105039 142626 210078 213939 285409 427878 570818 581309 856227 1162618 1712454 1743927 2292821 2568681 3139499 3487854 4585642 5137362 5231781 6278998 6394399 6878463 9418497 10463562 12788798 13756926 18836994 19183197 20635389 25221031 28255491 38366394 41270778 50442062 56510982 57549591 75663093 115099182 151326186 226989279 453978558 616768849 1233537698 1850306547 3700613094 5550919641 6784457339 11101839282 13568914678 20353372017 40706744034 61060116051 122120232102