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12212330112 = 273237286513
BaseRepresentation
bin10110101111110100…
…10101111010000000
31011112002122122111200
423113322111322000
5200002324030422
65335452341200
7611430043653
oct132772257200
934462578450
1012212330112
1151a75a6404
122449a74800
1311c8148148
1483bccd89a
154b72132ac
hex2d7e95e80

12212330112 has 96 divisors (see below), whose sum is σ = 36092168580. Its totient is φ = 3960741888.

The previous prime is 12212330093. The next prime is 12212330131. The reversal of 12212330112 is 21103321221.

12212330112 is a `hidden beast` number, since 1 + 221 + 2 + 330 + 112 = 666.

It is an interprime number because it is at equal distance from previous prime (12212330093) and next prime (12212330131).

It can be written as a sum of positive squares in 2 ways, for example, as 12193459776 + 18870336 = 110424^2 + 4344^2 .

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 100633 + ... + 185880.

Almost surely, 212212330112 is an apocalyptic number.

12212330112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12212330112 is an abundant number, since it is smaller than the sum of its proper divisors (23879838468).

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

12212330112 is a wasteful number, since it uses less digits than its factorization.

12212330112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 286570 (or 286555 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 12212330112 its reverse (21103321221), we get a palindrome (33315651333).

The spelling of 12212330112 in words is "twelve billion, two hundred twelve million, three hundred thirty thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 37 48 64 72 74 96 111 128 144 148 192 222 288 296 333 384 444 576 592 666 888 1152 1184 1332 1776 2368 2664 3552 4736 5328 7104 10656 14208 21312 42624 286513 573026 859539 1146052 1719078 2292104 2578617 3438156 4584208 5157234 6876312 9168416 10314468 10600981 13752624 18336832 20628936 21201962 27505248 31802943 36673664 41257872 42403924 55010496 63605886 82515744 84807848 95408829 110020992 127211772 165031488 169615696 190817658 254423544 330062976 339231392 381635316 508847088 678462784 763270632 1017694176 1356925568 1526541264 2035388352 3053082528 4070776704 6106165056 12212330112