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12137401152 = 26337198929
BaseRepresentation
bin10110100110111001…
…00000101101000000
31011022212122212022000
423103130200231000
5144324133314102
65324214344000
7606530131122
oct132334405500
934285585260
1012137401152
115169279148
12242895b000
1311b5771c96
14831d87212
154b086201c
hex2d3720b40

12137401152 has 112 divisors (see below), whose sum is σ = 36184636800. Its totient is φ = 3988776960.

The previous prime is 12137401123. The next prime is 12137401163. The reversal of 12137401152 is 25110473121.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

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, 73224 + ... + 172152.

Almost surely, 212137401152 is an apocalyptic number.

12137401152 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 12137401152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18092318400).

12137401152 is an abundant number, since it is smaller than the sum of its proper divisors (24047235648).

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

12137401152 is an equidigital number, since it uses as much as digits as its factorization.

12137401152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99021 (or 99005 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

Adding to 12137401152 its reverse (25110473121), we get a palindrome (37247874273).

The spelling of 12137401152 in words is "twelve billion, one hundred thirty-seven million, four hundred one thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 71 72 96 108 142 144 192 213 216 284 288 426 432 568 576 639 852 864 1136 1278 1704 1728 1917 2272 2556 3408 3834 4544 5112 6816 7668 10224 13632 15336 20448 30672 40896 61344 98929 122688 197858 296787 395716 593574 791432 890361 1187148 1582864 1780722 2374296 2671083 3165728 3561444 4748592 5342166 6331456 7023959 7122888 9497184 10684332 14047918 14245776 18994368 21071877 21368664 28095836 28491552 42143754 42737328 56191672 56983104 63215631 84287508 85474656 112383344 126431262 168575016 170949312 189646893 224766688 252862524 337150032 379293786 449533376 505725048 674300064 758587572 1011450096 1348600128 1517175144 2022900192 3034350288 4045800384 6068700576 12137401152