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122200121956 = 221117553129537
BaseRepresentation
bin111000111001110110…
…0011110001001100100
3102200102100002101102211
41301303230132021210
54000231212400311
6132045444413204
711554142620063
oct1616354361144
9380370071384
10122200121956
1147908868330
121b8246a7204
13b6a5c5c393
145cb36161da
1532a31e8821
hex1c73b1e264

122200121956 has 48 divisors (see below), whose sum is σ = 247067174592. Its totient is φ = 52266905600.

The previous prime is 122200121947. The next prime is 122200121957. The reversal of 122200121956 is 659121002221.

It is a super-2 number, since 2×1222001219562 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (122200121957) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4122420 + ... + 4151956.

It is an arithmetic number, because the mean of its divisors is an integer number (5147232804).

Almost surely, 2122200121956 is an apocalyptic number.

It is an amenable number.

122200121956 is an abundant number, since it is smaller than the sum of its proper divisors (124867052636).

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

122200121956 is a wasteful number, since it uses less digits than its factorization.

122200121956 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35100 (or 35098 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 31.

The spelling of 122200121956 in words is "one hundred twenty-two billion, two hundred million, one hundred twenty-one thousand, nine hundred fifty-six".

Divisors: 1 2 4 11 17 22 34 44 68 187 374 748 5531 11062 22124 29537 59074 60841 94027 118148 121682 188054 243364 324907 376108 502129 649814 1004258 1034297 1299628 2008516 2068594 4137188 5523419 11046838 22093676 163369147 326738294 653476588 1797060617 2777275499 3594121234 5554550998 7188242468 11109101996 30550030489 61100060978 122200121956