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12132223400 = 23521117324391
BaseRepresentation
bin10110100110010001…
…10000100110101000
31011022111220210202102
423103020300212220
5144321322122100
65323511352532
7606435124463
oct132310604650
934274823672
1012132223400
115166362010
122427082748
1311b467b31b
148313da2da
154b018ccd5
hex2d32309a8

12132223400 has 96 divisors (see below), whose sum is σ = 32581932480. Its totient is φ = 4152192000.

The previous prime is 12132223391. The next prime is 12132223403. The reversal of 12132223400 is 432223121.

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

It is not an unprimeable number, because it can be changed into a prime (12132223403) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 124796 + ... + 199595.

It is an arithmetic number, because the mean of its divisors is an integer number (339395130).

Almost surely, 212132223400 is an apocalyptic number.

12132223400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12132223400 is an abundant number, since it is smaller than the sum of its proper divisors (20449709080).

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

12132223400 is a wasteful number, since it uses less digits than its factorization.

12132223400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 324435 (or 324426 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 12132223400 its reverse (432223121), we get a palindrome (12564446521).

It can be divided in two parts, 12132 and 223400, that added together give a palindrome (235532).

The spelling of 12132223400 in words is "twelve billion, one hundred thirty-two million, two hundred twenty-three thousand, four hundred".

Divisors: 1 2 4 5 8 10 11 17 20 22 25 34 40 44 50 55 68 85 88 100 110 136 170 187 200 220 275 340 374 425 440 550 680 748 850 935 1100 1496 1700 1870 2200 3400 3740 4675 7480 9350 18700 37400 324391 648782 1297564 1621955 2595128 3243910 3568301 5514647 6487820 7136602 8109775 11029294 12975640 14273204 16219550 17841505 22058588 27573235 28546408 32439100 35683010 44117176 55146470 60661117 64878200 71366020 89207525 110292940 121322234 137866175 142732040 178415050 220585880 242644468 275732350 303305585 356830100 485288936 551464700 606611170 713660200 1102929400 1213222340 1516527925 2426444680 3033055850 6066111700 12132223400