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12021220332 = 22321188134457
BaseRepresentation
bin10110011001000010…
…10100001111101100
31011000210001021011200
423030201110033230
5144104413022312
65304504245500
7603616454412
oct131441241754
934023037150
1012021220332
115109735840
1223b5a70890
131197684534
148207832b2
154a55630dc
hex2cc8543ec

12021220332 has 72 divisors (see below), whose sum is σ = 33188015952. Its totient is φ = 3638553600.

The previous prime is 12021220279. The next prime is 12021220357. The reversal of 12021220332 is 23302212021.

12021220332 is a `hidden beast` number, since 120 + 212 + 2 + 0 + 332 = 666.

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 23 ways as a sum of consecutive naturals, for example, 331648 + ... + 366104.

It is an arithmetic number, because the mean of its divisors is an integer number (460944666).

Almost surely, 212021220332 is an apocalyptic number.

12021220332 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 12021220332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16594007976).

12021220332 is an abundant number, since it is smaller than the sum of its proper divisors (21166795620).

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

12021220332 is a wasteful number, since it uses less digits than its factorization.

12021220332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35359 (or 35354 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 12021220332 its reverse (23302212021), we get a palindrome (35323432353).

The spelling of 12021220332 in words is "twelve billion, twenty-one million, two hundred twenty thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 198 396 881 1762 2643 3524 5286 7929 9691 10572 15858 19382 29073 31716 34457 38764 58146 68914 87219 103371 116292 137828 174438 206742 310113 348876 379027 413484 620226 758054 1137081 1240452 1516108 2274162 3411243 4548324 6822486 13644972 30356617 60713234 91069851 121426468 182139702 273209553 333922787 364279404 546419106 667845574 1001768361 1092838212 1335691148 2003536722 3005305083 4007073444 6010610166 12021220332