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12254013420 = 22351177324019
BaseRepresentation
bin10110110100110010…
…10110011111101100
31011122000002101020220
423122121112133230
5200044011412140
65343542011340
7612444252435
oct133231263754
934560071226
1012254013420
115219086720
12245ba16b50
131203980c1c
1484366048c
154babe8bd0
hex2da6567ec

12254013420 has 96 divisors (see below), whose sum is σ = 37480423680. Its totient is φ = 2966703360.

The previous prime is 12254013413. The next prime is 12254013427. The reversal of 12254013420 is 2431045221.

It is an interprime number because it is at equal distance from previous prime (12254013413) and next prime (12254013427).

It is not an unprimeable number, because it can be changed into a prime (12254013427) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 498171 + ... + 522189.

It is an arithmetic number, because the mean of its divisors is an integer number (390421080).

Almost surely, 212254013420 is an apocalyptic number.

12254013420 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 12254013420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18740211840).

12254013420 is an abundant number, since it is smaller than the sum of its proper divisors (25226410260).

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

12254013420 is a wasteful number, since it uses less digits than its factorization.

12254013420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24815 (or 24813 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

Adding to 12254013420 its reverse (2431045221), we get a palindrome (14685058641).

The spelling of 12254013420 in words is "twelve billion, two hundred fifty-four million, thirteen thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 132 165 220 330 660 773 1546 2319 3092 3865 4638 7730 8503 9276 11595 15460 17006 23190 24019 25509 34012 42515 46380 48038 51018 72057 85030 96076 102036 120095 127545 144114 170060 240190 255090 264209 288228 360285 480380 510180 528418 720570 792627 1056836 1321045 1441140 1585254 2642090 3170508 3963135 5284180 7926270 15852540 18566687 37133374 55700061 74266748 92833435 111400122 185666870 204233557 222800244 278500305 371333740 408467114 557000610 612700671 816934228 1021167785 1114001220 1225401342 2042335570 2450802684 3063503355 4084671140 6127006710 12254013420