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12210211332 = 22321140917537
BaseRepresentation
bin10110101111100100…
…10000101000000100
31011111221200000002100
423113302100220010
5200001303230312
65335335112100
7611403040524
oct132762205004
934457600070
1012210211332
1151a6389550
122449212630
1311c7885927
1483b8db684
154b6e455dc
hex2d7c90a04

12210211332 has 72 divisors (see below), whose sum is σ = 33683281632. Its totient is φ = 3698668800.

The previous prime is 12210211331. The next prime is 12210211369. The reversal of 12210211332 is 23311201221.

12210211332 is a `hidden beast` number, since 122 + 1 + 0 + 211 + 332 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (12210211331) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1616268 + ... + 1623804.

It is an arithmetic number, because the mean of its divisors is an integer number (467823356).

Almost surely, 212210211332 is an apocalyptic number.

12210211332 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12210211332 is an abundant number, since it is smaller than the sum of its proper divisors (21473070300).

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

12210211332 is a wasteful number, since it uses less digits than its factorization.

12210211332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11649 (or 11644 counting only the distinct ones).

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

Adding to 12210211332 its reverse (23311201221), we get a palindrome (35521412553).

The spelling of 12210211332 in words is "twelve billion, two hundred ten million, two hundred eleven thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 198 396 4091 7537 8182 12273 15074 16364 22611 24546 30148 36819 45001 45222 49092 67833 73638 82907 90002 90444 135003 135666 147276 165814 180004 248721 270006 271332 331628 405009 497442 540012 746163 810018 994884 1492326 1620036 2984652 30833867 61667734 92501601 123335468 185003202 277504803 339172537 370006404 555009606 678345074 1017517611 1110019212 1356690148 2035035222 3052552833 4070070444 6105105666 12210211332