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122121010020222 = 232231645317928541
BaseRepresentation
bin11011110001000110000011…
…011010111111111101111110
3121000101122200011022211200100
4123301012003122333331332
5112001312312031121342
61111421341214341530
734502644320661053
oct3361060332777576
9530348604284610
10122121010020222
1135a03258517274
1211843a531ba8a6
13531ac671b33b5
14222298d06102a
15e1b9ab0e8e4c
hex6f11836bff7e

122121010020222 has 48 divisors (see below), whose sum is σ = 276116471343648. Its totient is φ = 38934764890560.

The previous prime is 122121010020197. The next prime is 122121010020263. The reversal of 122121010020222 is 222020010121221.

It is a happy number.

122121010020222 is a `hidden beast` number, since 1 + 221 + 210 + 10 + 0 + 2 + 0 + 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 = 122121010020195 and 122121010020204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2152729 + ... + 15775812.

It is an arithmetic number, because the mean of its divisors is an integer number (5752426486326).

Almost surely, 2122121010020222 is an apocalyptic number.

122121010020222 is an abundant number, since it is smaller than the sum of its proper divisors (153995461323426).

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

122121010020222 is a wasteful number, since it uses less digits than its factorization.

122121010020222 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17945025 (or 17945022 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 122121010020222 its reverse (222020010121221), we get a palindrome (344141020141443).

The spelling of 122121010020222 in words is "one hundred twenty-two trillion, one hundred twenty-one billion, ten million, twenty thousand, two hundred twenty-two".

Divisors: 1 2 3 6 9 18 23 46 69 138 207 414 16453 32906 49359 98718 148077 296154 378419 756838 1135257 2270514 3405771 6811542 17928541 35857082 53785623 107571246 161356869 322713738 412356443 824712886 1237069329 2474138658 3711207987 7422415974 294978285073 589956570146 884934855219 1769869710438 2654804565657 5309609131314 6784500556679 13569001113358 20353501670037 40707003340074 61060505010111 122121010020222