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12227508252 = 22373721021
BaseRepresentation
bin10110110001101000…
…01111100000011100
31011120011012210000000
423120310033200130
5200020220231002
65341153534300
7612003051051
oct133064174034
934504183000
1012227508252
115205122a23
122452b74390
1311cb3308ab
1483dd21028
154b871061c
hex2d8d0f81c

12227508252 has 144 divisors (see below), whose sum is σ = 33015423840. Its totient is φ = 3961794240.

The previous prime is 12227508211. The next prime is 12227508263. The reversal of 12227508252 is 25280572221.

12227508252 is a `hidden beast` number, since 122 + 2 + 7 + 508 + 25 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11975502 + ... + 11976522.

Almost surely, 212227508252 is an apocalyptic number.

12227508252 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 12227508252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16507711920).

12227508252 is an abundant number, since it is smaller than the sum of its proper divisors (20787915588).

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

12227508252 is an equidigital number, since it uses as much as digits as its factorization.

12227508252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1120 (or 1063 counting only the distinct ones).

The product of its (nonzero) digits is 44800, while the sum is 36.

The spelling of 12227508252 in words is "twelve billion, two hundred twenty-seven million, five hundred eight thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 37 54 74 81 108 111 148 162 222 243 324 333 444 486 666 729 972 999 1021 1332 1369 1458 1998 2042 2187 2738 2916 2997 3063 3996 4084 4107 4374 5476 5994 6126 8214 8748 8991 9189 11988 12252 12321 16428 17982 18378 24642 26973 27567 35964 36756 36963 37777 49284 53946 55134 73926 75554 80919 82701 107892 110268 110889 113331 147852 151108 161838 165402 221778 226662 248103 323676 330804 332667 339993 443556 453324 496206 665334 679986 744309 992412 998001 1019979 1330668 1359972 1397749 1488618 1996002 2039958 2232927 2795498 2977236 2994003 3059937 3992004 4079916 4193247 4465854 5590996 5988006 6119874 8386494 8931708 9179811 11976012 12239748 12579741 16772988 18359622 25159482 27539433 36719244 37739223 50318964 55078866 75478446 82618299 110157732 113217669 150956892 165236598 226435338 330473196 339653007 452870676 679306014 1018959021 1358612028 2037918042 3056877063 4075836084 6113754126 12227508252