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122129664672 = 2531967999359
BaseRepresentation
bin111000110111101111…
…1101100101010100000
3102200020102111210012210
41301233133230222200
54000110143232142
6132034450322120
711552326010211
oct1615737545240
9380212453183
10122129664672
1147882014774
121b804b89340
13b694490692
145ca8115408
15329be2c49c
hex1c6f7ecaa0

122129664672 has 96 divisors (see below), whose sum is σ = 342500659200. Its totient is φ = 37991593728.

The previous prime is 122129664667. The next prime is 122129664689. The reversal of 122129664672 is 276466921221.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 377472 + ... + 621887.

It is an arithmetic number, because the mean of its divisors is an integer number (3567715200).

Almost surely, 2122129664672 is an apocalyptic number.

122129664672 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

122129664672 is an abundant number, since it is smaller than the sum of its proper divisors (220370994528).

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

122129664672 is a wasteful number, since it uses less digits than its factorization.

122129664672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 999458 (or 999450 counting only the distinct ones).

The product of its digits is 870912, while the sum is 48.

The spelling of 122129664672 in words is "one hundred twenty-two billion, one hundred twenty-nine million, six hundred sixty-four thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 67 76 96 114 134 152 201 228 268 304 402 456 536 608 804 912 1072 1273 1608 1824 2144 2546 3216 3819 5092 6432 7638 10184 15276 20368 30552 40736 61104 122208 999359 1998718 2998077 3997436 5996154 7994872 11992308 15989744 18987821 23984616 31979488 37975642 47969232 56963463 66957053 75951284 95938464 113926926 133914106 151902568 200871159 227853852 267828212 303805136 401742318 455707704 535656424 607610272 803484636 911415408 1071312848 1272184007 1606969272 1822830816 2142625696 2544368014 3213938544 3816552021 5088736028 6427877088 7633104042 10177472056 15266208084 20354944112 30532416168 40709888224 61064832336 122129664672