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12221230032 = 2432117715423
BaseRepresentation
bin10110110000111000…
…10010101111010000
31011112201101210220100
423120130102233100
5200012113330112
65340411212400
7611565512154
oct133034225720
934481353810
1012221230032
115201625010
122450a47100
1311c9c4307b
1483d169064
154b7dc02dc
hex2d8712bd0

12221230032 has 60 divisors (see below), whose sum is σ = 37311790464. Its totient is φ = 3703402560.

The previous prime is 12221230031. The next prime is 12221230033. The reversal of 12221230032 is 23003212221.

12221230032 is a `hidden beast` number, since 122 + 212 + 300 + 32 = 666.

It is an interprime number because it is at equal distance from previous prime (12221230031) and next prime (12221230033).

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

It is a junction number, because it is equal to n+sod(n) for n = 12221229987 and 12221230014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12221230031) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3856128 + ... + 3859295.

Almost surely, 212221230032 is an apocalyptic number.

12221230032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12221230032 is an abundant number, since it is smaller than the sum of its proper divisors (25090560432).

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

12221230032 is a wasteful number, since it uses less digits than its factorization.

12221230032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7715448 (or 7715439 counting only the distinct ones).

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

Adding to 12221230032 its reverse (23003212221), we get a palindrome (35224442253).

The spelling of 12221230032 in words is "twelve billion, two hundred twenty-one million, two hundred thirty thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 33 36 44 48 66 72 88 99 132 144 176 198 264 396 528 792 1584 7715423 15430846 23146269 30861692 46292538 61723384 69438807 84869653 92585076 123446768 138877614 169739306 185170152 254608959 277755228 339478612 370340304 509217918 555510456 678957224 763826877 1018435836 1111020912 1357914448 1527653754 2036871672 3055307508 4073743344 6110615016 12221230032