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114122526012 = 223211226899743
BaseRepresentation
bin110101001001000111…
…0111000110100111100
3101220120101122222220200
41222102032320310330
53332210331313022
6124232133443500
711150030315505
oct1522216706474
9356511588820
10114122526012
1144443210a00
121a14b4a0590
13a9b961b201
14574890dbac
152e7dec1bac
hex1a923b8d3c

114122526012 has 108 divisors (see below), whose sum is σ = 317236090080. Its totient is φ = 34566174720.

The previous prime is 114122525977. The next prime is 114122526053. The reversal of 114122526012 is 210625221411.

It is a happy number.

114122526012 is a `hidden beast` number, since 1 + 1 + 4 + 1 + 2 + 2 + 52 + 601 + 2 = 666.

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 35 ways as a sum of consecutive naturals, for example, 11708413 + ... + 11718155.

Almost surely, 2114122526012 is an apocalyptic number.

114122526012 is a gapful number since it is divisible by the number (12) 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 114122526012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158618045040).

114122526012 is an abundant number, since it is smaller than the sum of its proper divisors (203113564068).

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

114122526012 is a wasteful number, since it uses less digits than its factorization.

114122526012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12464 (or 12448 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

Adding to 114122526012 its reverse (210625221411), we get a palindrome (324747747423).

The spelling of 114122526012 in words is "one hundred fourteen billion, one hundred twenty-two million, five hundred twenty-six thousand, twelve".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 121 132 198 242 363 396 484 726 1089 1452 2178 2689 4356 5378 8067 9743 10756 16134 19486 24201 29229 29579 32268 38972 48402 58458 59158 87687 88737 96804 107173 116916 118316 175374 177474 214346 266211 321519 325369 350748 354948 428692 532422 643038 650738 964557 976107 1064844 1178903 1286076 1301476 1929114 1952214 2357806 2928321 3536709 3858228 3904428 4715612 5856642 7073418 10610127 11713284 14146836 21220254 26198927 42440508 52397854 78596781 104795708 157193562 235790343 288188197 314387124 471580686 576376394 864564591 943161372 1152752788 1729129182 2593693773 3170070167 3458258364 5187387546 6340140334 9510210501 10374775092 12680280668 19020421002 28530631503 38040842004 57061263006 114122526012