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122991153296 = 241122711032791
BaseRepresentation
bin111001010001011011…
…0000001000010010000
3102202110110112221102212
41302202312001002100
54003341213401141
6132300143131252
711612556360644
oct1624266010220
9382413487385
10122991153296
1148184332940
121ba055a3b28
13b7a0ac1c6b
145d4a6c8c24
1532ec89d2eb
hex1ca2d81090

122991153296 has 80 divisors (see below), whose sum is σ = 261434124288. Its totient is φ = 55588406400.

The previous prime is 122991153283. The next prime is 122991153323. The reversal of 122991153296 is 692351199221.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 44065661 + ... + 44068451.

Almost surely, 2122991153296 is an apocalyptic number.

122991153296 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 122991153296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130717062144).

122991153296 is an abundant number, since it is smaller than the sum of its proper divisors (138442970992).

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

122991153296 is a wasteful number, since it uses less digits than its factorization.

122991153296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4140 (or 4134 counting only the distinct ones).

The product of its digits is 524880, while the sum is 50.

The spelling of 122991153296 in words is "one hundred twenty-two billion, nine hundred ninety-one million, one hundred fifty-three thousand, two hundred ninety-six".

Divisors: 1 2 4 8 11 16 22 44 88 176 227 454 908 1103 1816 2206 2497 2791 3632 4412 4994 5582 8824 9988 11164 12133 17648 19976 22328 24266 30701 39952 44656 48532 61402 97064 122804 194128 245608 250381 491216 500762 633557 1001524 1267114 2003048 2534228 2754191 3078473 4006096 5068456 5508382 6156946 6969127 10136912 11016764 12313892 13938254 22033528 24627784 27876508 33863203 44067056 49255568 55753016 67726406 111506032 135452812 270905624 541811248 698813371 1397626742 2795253484 5590506968 7686947081 11181013936 15373894162 30747788324 61495576648 122991153296