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12221220132 = 22321145767531
BaseRepresentation
bin10110110000111000…
…10000010100100100
31011112201101022022200
423120130100110210
5200012113021012
65340411054500
7611565441252
oct133034202444
934481338280
1012221220132
115201618630
122450a41430
1311c9c3b704
1483d1655d2
154b7dbc3dc
hex2d8710524

12221220132 has 72 divisors (see below), whose sum is σ = 33775184352. Its totient is φ = 3695241600.

The previous prime is 12221220113. The next prime is 12221220149. The reversal of 12221220132 is 23102212221.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 147207 + ... + 214737.

Almost surely, 212221220132 is an apocalyptic number.

12221220132 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 12221220132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16887592176).

12221220132 is an abundant number, since it is smaller than the sum of its proper divisors (21553964220).

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

12221220132 is a wasteful number, since it uses less digits than its factorization.

12221220132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68009 (or 68004 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 12221220132 its reverse (23102212221), we get a palindrome (35323432353).

The spelling of 12221220132 in words is "twelve billion, two hundred twenty-one million, two hundred twenty thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 198 396 457 914 1371 1828 2742 4113 5027 5484 8226 10054 15081 16452 20108 30162 45243 60324 67531 90486 135062 180972 202593 270124 405186 607779 742841 810372 1215558 1485682 2228523 2431116 2971364 4457046 6685569 8914092 13371138 26742276 30861667 61723334 92585001 123446668 185170002 277755003 339478337 370340004 555510006 678956674 1018435011 1111020012 1357913348 2036870022 3055305033 4073740044 6110610066 12221220132