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12210222321132 = 22311672934712021
BaseRepresentation
bin1011000110101110100111…
…1101101100110111101100
31121020021201101110111200020
42301223221331230313230
53100023013403234012
641545144304002140
72400105456163023
oct261535175546754
947207641414606
1012210222321132
1139883651a9190
12145250a900350
136a755a79a294
14302d995758ba
15162938a1aa8c
hexb1ae9f6cdec

12210222321132 has 96 divisors (see below), whose sum is σ = 31652121924864. Its totient is φ = 3632401977600.

The previous prime is 12210222321109. The next prime is 12210222321169. The reversal of 12210222321132 is 23112322201221.

It is a super-2 number, since 2×122102223211322 (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 235282 + ... + 4947302.

It is an arithmetic number, because the mean of its divisors is an integer number (329709603384).

Almost surely, 212210222321132 is an apocalyptic number.

12210222321132 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 12210222321132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15826060962432).

12210222321132 is an abundant number, since it is smaller than the sum of its proper divisors (19441899603732).

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

12210222321132 is a wasteful number, since it uses less digits than its factorization.

12210222321132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4712399 (or 4712397 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 12210222321132 its reverse (23112322201221), we get a palindrome (35322544522353).

The spelling of 12210222321132 in words is "twelve trillion, two hundred ten billion, two hundred twenty-two million, three hundred twenty-one thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 67 132 134 201 268 293 402 586 737 804 879 1172 1474 1758 2211 2948 3223 3516 4422 6446 8844 9669 12892 19338 19631 38676 39262 58893 78524 117786 215941 235572 431882 647823 863764 1295646 2591292 4712021 9424042 14136063 18848084 28272126 51832231 56544252 103664462 155496693 207328924 310993386 315705407 621986772 631410814 947116221 1262821628 1380622153 1894232442 2761244306 3472759477 3788464884 4141866459 5522488612 6945518954 8283732918 10418278431 13891037908 15186843683 16567465836 20836556862 30373687366 41673113724 45560531049 60747374732 91121062098 92501684251 182242124196 185003368502 277505052753 370006737004 555010105506 1017518526761 1110020211012 2035037053522 3052555580283 4070074107044 6105111160566 12210222321132