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12212470512 = 24321121533581
BaseRepresentation
bin10110101111110101…
…11000001011110000
31011112002220210002200
423113322320023300
5200002343024022
65335455343200
7611431200204
oct132772701360
934462823080
1012212470512
1151a7691940
122449b21b00
1311c8197018
1483bd28b04
154b723ebac
hex2d7eb82f0

12212470512 has 120 divisors (see below), whose sum is σ = 37312777008. Its totient is φ = 3697996800.

The previous prime is 12212470507. The next prime is 12212470513. The reversal of 12212470512 is 21507421221.

It is a happy number.

12212470512 is a `hidden beast` number, since 1 + 22 + 124 + 7 + 0 + 512 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12212470513) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3408562 + ... + 3412142.

Almost surely, 212212470512 is an apocalyptic number.

12212470512 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 12212470512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18656388504).

12212470512 is an abundant number, since it is smaller than the sum of its proper divisors (25100306496).

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

12212470512 is a wasteful number, since it uses less digits than its factorization.

12212470512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5759 (or 5750 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 27.

Adding to 12212470512 its reverse (21507421221), we get a palindrome (33719891733).

The spelling of 12212470512 in words is "twelve billion, two hundred twelve million, four hundred seventy thousand, five hundred twelve".

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 2153 3581 4306 6459 7162 8612 10743 12918 14324 17224 19377 21486 23683 25836 28648 32229 34448 38754 39391 42972 47366 51672 57296 64458 71049 77508 78782 85944 94732 103344 118173 128916 142098 155016 157564 171888 189464 213147 236346 257832 284196 310032 315128 354519 378928 426294 472692 515664 568392 630256 709038 852588 945384 1136784 1418076 1705176 1890768 2836152 3410352 5672304 7709893 15419786 23129679 30839572 46259358 61679144 69389037 84808823 92518716 123358288 138778074 169617646 185037432 254426469 277556148 339235292 370074864 508852938 555112296 678470584 763279407 1017705876 1110224592 1356941168 1526558814 2035411752 3053117628 4070823504 6106235256 12212470512