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12021002310132 = 22327121292209043
BaseRepresentation
bin1010111011101101101110…
…0100101001000111110100
31120120012022022122000001200
42232323123210221013310
53033423003042411012
641322212222252500
72350326433501254
oct256733344510764
946505268560050
1012021002310132
113915095465302
121421901427130
1369276393302a
142d7b69053964
1515ca61b773dc
hexaeedb9291f4

12021002310132 has 72 divisors (see below), whose sum is σ = 30828887893440. Its totient is φ = 3948706755840.

The previous prime is 12021002310089. The next prime is 12021002310151. The reversal of 12021002310132 is 23101320012021.

12021002310132 is a `hidden beast` number, since 1 + 202 + 100 + 231 + 0 + 132 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4337203 + ... + 6546245.

It is an arithmetic number, because the mean of its divisors is an integer number (428178998520).

Almost surely, 212021002310132 is an apocalyptic number.

12021002310132 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 12021002310132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15414443946720).

12021002310132 is an abundant number, since it is smaller than the sum of its proper divisors (18807885583308).

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

12021002310132 is a wasteful number, since it uses less digits than its factorization.

12021002310132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2211253 (or 2211248 counting only the distinct ones).

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

Adding to 12021002310132 its reverse (23101320012021), we get a palindrome (35122322322153).

The spelling of 12021002310132 in words is "twelve trillion, twenty-one billion, two million, three hundred ten thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 36 71 142 213 284 426 639 852 1278 2129 2556 4258 6387 8516 12774 19161 25548 38322 76644 151159 302318 453477 604636 906954 1360431 1813908 2209043 2720862 4418086 5441724 6627129 8836172 13254258 19881387 26508516 39762774 79525548 156842053 313684106 470526159 627368212 941052318 1411578477 1882104636 2823156954 4703052547 5646313908 9406105094 14109157641 18812210188 28218315282 42327472923 56436630564 84654945846 169309891692 333916730837 667833461674 1001750192511 1335666923348 2003500385022 3005250577533 4007000770044 6010501155066 12021002310132