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12134130140 = 22511673732207
BaseRepresentation
bin10110100110100000…
…00010000111011100
31011022122111200022102
423103100002013130
5144322314131030
65324020304232
7606460255466
oct132320020734
934278450272
1012134130140
115167444630
122427842078
1311b4b98182
14831775136
154b0417c45
hex2d34021dc

12134130140 has 96 divisors (see below), whose sum is σ = 28301543424. Its totient is φ = 4332936960.

The previous prime is 12134130119. The next prime is 12134130163. The reversal of 12134130140 is 4103143121.

It is a super-2 number, since 2×121341301402 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5496917 + ... + 5499123.

It is an arithmetic number, because the mean of its divisors is an integer number (294807744).

Almost surely, 212134130140 is an apocalyptic number.

12134130140 is a gapful number since it is divisible by the number (10) 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 12134130140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14150771712).

12134130140 is an abundant number, since it is smaller than the sum of its proper divisors (16167413284).

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

12134130140 is a wasteful number, since it uses less digits than its factorization.

12134130140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2667 (or 2665 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 12134130140 its reverse (4103143121), we get a palindrome (16237273261).

The spelling of 12134130140 in words is "twelve billion, one hundred thirty-four million, one hundred thirty thousand, one hundred forty".

Divisors: 1 2 4 5 10 11 20 22 44 55 67 110 134 220 268 335 373 670 737 746 1340 1474 1492 1865 2207 2948 3685 3730 4103 4414 7370 7460 8206 8828 11035 14740 16412 20515 22070 24277 24991 41030 44140 48554 49982 82060 97108 99964 121385 124955 147869 242770 249910 274901 295738 485540 499820 549802 591476 739345 823211 1099604 1374505 1478690 1626559 1646422 2749010 2957380 3253118 3292844 4116055 5498020 6506236 8132795 8232110 9055321 16265590 16464220 18110642 32531180 36221284 45276605 55155137 90553210 110310274 181106420 220620548 275775685 551551370 606706507 1103102740 1213413014 2426826028 3033532535 6067065070 12134130140