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12299974092 = 2234713141399
BaseRepresentation
bin10110111010010001…
…01011010111001100
31011202012120102110000
423131020223113030
5200142243132332
65352303044300
7613543024530
oct133510532714
934665512400
1012299974092
11524201864a
1224732a0690
1312103538a3
148497c5bc0
154bec76b7c
hex2dd22b5cc

12299974092 has 120 divisors (see below), whose sum is σ = 37029484800. Its totient is φ = 3487367520.

The previous prime is 12299974039. The next prime is 12299974111. The reversal of 12299974092 is 29047999221.

12299974092 is a `hidden beast` number, since 1 + 229 + 9 + 9 + 7 + 409 + 2 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 276409 + ... + 317807.

It is an arithmetic number, because the mean of its divisors is an integer number (308579040).

Almost surely, 212299974092 is an apocalyptic number.

12299974092 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 12299974092, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18514742400).

12299974092 is an abundant number, since it is smaller than the sum of its proper divisors (24729510708).

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

12299974092 is a wasteful number, since it uses less digits than its factorization.

12299974092 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41553 (or 41542 counting only the distinct ones).

The product of its (nonzero) digits is 1469664, while the sum is 54.

The spelling of 12299974092 in words is "twelve billion, two hundred ninety-nine million, nine hundred seventy-four thousand, ninety-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 81 84 108 126 131 162 189 252 262 324 378 393 524 567 756 786 917 1134 1179 1572 1834 2268 2358 2751 3537 3668 4716 5502 7074 8253 10611 11004 14148 16506 21222 24759 33012 41399 42444 49518 74277 82798 99036 124197 148554 165596 248394 289793 297108 372591 496788 579586 745182 869379 1117773 1159172 1490364 1738758 2235546 2608137 3353319 3477516 4471092 5216274 5423269 6706638 7824411 10432548 10846538 13413276 15648822 16269807 21693076 23473233 31297644 32539614 37962883 46946466 48809421 65079228 75925766 93892932 97618842 113888649 146428263 151851532 195237684 227777298 292856526 341665947 439284789 455554596 585713052 683331894 878569578 1024997841 1366663788 1757139156 2049995682 3074993523 4099991364 6149987046 12299974092