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122100023220032 = 26112131212849881
BaseRepresentation
bin11011110000110010100000…
…100000101101011101000000
3121000022122111112221221001102
4123300302200200231131000
5112000441321421020112
61111403550514353532
734501302254060504
oct3360624040553500
9530278445857042
10122100023220032
11359a5368a6a700
121183b97688b8a8
135318ca1240730
14222195baa6304
15e1b17d907bc2
hex6f0ca082d740

122100023220032 has 84 divisors (see below), whose sum is σ = 286807462996068. Its totient is φ = 51230778931200.

The previous prime is 122100023220013. The next prime is 122100023220041. The reversal of 122100023220032 is 230022320001221.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 24321625436416 + 97778397783616 = 4931696^2 + 9888296^2 .

It is a junction number, because it is equal to n+sod(n) for n = 122100023219986 and 122100023220013.

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 606324269 + ... + 606525612.

It is an arithmetic number, because the mean of its divisors is an integer number (3414374559477).

Almost surely, 2122100023220032 is an apocalyptic number.

It is an amenable number.

122100023220032 is an abundant number, since it is smaller than the sum of its proper divisors (164707439776036).

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

122100023220032 is a wasteful number, since it uses less digits than its factorization.

122100023220032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1212849928 (or 1212849907 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 122100023220032 its reverse (230022320001221), we get a palindrome (352122343221253).

The spelling of 122100023220032 in words is "one hundred twenty-two trillion, one hundred billion, twenty-three million, two hundred twenty thousand, thirty-two".

Divisors: 1 2 4 8 11 13 16 22 26 32 44 52 64 88 104 121 143 176 208 242 286 352 416 484 572 704 832 968 1144 1573 1936 2288 3146 3872 4576 6292 7744 9152 12584 25168 50336 100672 1212849881 2425699762 4851399524 9702799048 13341348691 15767048453 19405598096 26682697382 31534096906 38811196192 53365394764 63068193812 77622392384 106730789528 126136387624 146754835601 173437532983 213461579056 252272775248 293509671202 346875065966 426923158112 504545550496 587019342404 693750131932 853846316224 1009091100992 1174038684808 1387500263864 1907812862813 2348077369616 2775000527728 3815625725626 4696154739232 5550001055456 7631251451252 9392309478464 11100002110912 15262502902504 30525005805008 61050011610016 122100023220032