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122330232120132 = 223241591404738323
BaseRepresentation
bin11011110100001000111010…
…000001111110001101000100
3121001010122201012121201222200
4123310020322001332031010
5112013224303410321012
61112101422142154500
734524032122326531
oct3364107201761504
9531118635551880
10122330232120132
1135a83a61986643
1211878503282a30
1353348caca700a
14222cb59c4dd88
15e22153ebc3dc
hex6f423a07e344

122330232120132 has 72 divisors (see below), whose sum is σ = 322134592459680. Its totient is φ = 39107914884480.

The previous prime is 122330232120113. The next prime is 122330232120133. The reversal of 122330232120132 is 231021232033221.

122330232120132 is a `hidden beast` number, since 1 + 2 + 2 + 3 + 302 + 321 + 2 + 0 + 1 + 32 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 122330232120096 and 122330232120105.

It is not an unprimeable number, because it can be changed into a prime (122330232120133) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 702282078 + ... + 702456245.

It is an arithmetic number, because the mean of its divisors is an integer number (4474091561940).

Almost surely, 2122330232120132 is an apocalyptic number.

122330232120132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

122330232120132 is an abundant number, since it is smaller than the sum of its proper divisors (199804360339548).

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

122330232120132 is a wasteful number, since it uses less digits than its factorization.

122330232120132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1404738433 (or 1404738428 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 122330232120132 its reverse (231021232033221), we get a palindrome (353351464153353).

The spelling of 122330232120132 in words is "one hundred twenty-two trillion, three hundred thirty billion, two hundred thirty-two million, one hundred twenty thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 36 41 59 82 118 123 164 177 236 246 354 369 492 531 708 738 1062 1476 2124 2419 4838 7257 9676 14514 21771 29028 43542 87084 1404738323 2809476646 4214214969 5618953292 8428429938 12642644907 16856859876 25285289814 50570579628 57594271243 82879561057 115188542486 165759122114 172782813729 230377084972 248638683171 331518244228 345565627458 497277366342 518348441187 691131254916 745916049513 994554732684 1036696882374 1491832099026 2073393764748 2983664198052 3398062003337 6796124006674 10194186010011 13592248013348 20388372020022 30582558030033 40776744040044 61165116060066 122330232120132