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122031312000330 = 23597739124945433
BaseRepresentation
bin11011101111110010100001…
…000000001101010101001010
3121000002002010221200022101110
4123233302201000031111022
5111443330111333002310
61111312224422431150
734463320446252015
oct3357624100152512
9530062127608343
10122031312000330
1135979209302317
121182a59b5924b6
135312670b03295
14221c4c02d037c
15e194ab51cd20
hex6efca100d54a

122031312000330 has 128 divisors (see below), whose sum is σ = 296538631200000. Its totient is φ = 32136163098624.

The previous prime is 122031312000329. The next prime is 122031312000439. The reversal of 122031312000330 is 33000213130221.

It is a super-2 number, since 2×1220313120003302 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 122031312000297 and 122031312000306.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2685939294 + ... + 2685984726.

It is an arithmetic number, because the mean of its divisors is an integer number (2316708056250).

Almost surely, 2122031312000330 is an apocalyptic number.

122031312000330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

122031312000330 is an abundant number, since it is smaller than the sum of its proper divisors (174507319199670).

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

122031312000330 is a wasteful number, since it uses less digits than its factorization.

122031312000330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47528.

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 122031312000330 its reverse (33000213130221), we get a palindrome (155031525130551).

The spelling of 122031312000330 in words is "one hundred twenty-two trillion, thirty-one billion, three hundred twelve million, three hundred thirty", and thus it is an aban number.

Divisors: 1 2 3 5 6 10 15 30 97 194 291 485 582 739 970 1249 1455 1478 2217 2498 2910 3695 3747 4434 6245 7390 7494 11085 12490 18735 22170 37470 45433 71683 90866 121153 136299 143366 215049 227165 242306 272598 358415 363459 430098 454330 605765 681495 716830 726918 923011 1075245 1211530 1362990 1817295 1846022 2150490 2769033 3634590 4407001 4615055 5538066 8814002 9230110 13221003 13845165 22035005 26442006 27690330 33574987 44070010 56745817 66105015 67149974 89532067 100724961 113491634 132210030 167874935 170237451 179064134 201449922 268596201 283729085 335749870 340474902 447660335 503624805 537192402 567458170 851187255 895320670 1007249610 1342981005 1702374510 2685962010 3256773739 5504344249 6513547478 9770321217 11008688498 16283868695 16513032747 19540642434 27521721245 32567737390 33026065494 41935158763 48851606085 55043442490 82565163735 83870317526 97703212170 125805476289 165130327470 209675793815 251610952578 419351587630 629027381445 1258054762890 4067710400011 8135420800022 12203131200033 20338552000055 24406262400066 40677104000110 61015656000165 122031312000330