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12222688704 = 263235352223
BaseRepresentation
bin10110110001000011…
…10110110111000000
31011112211010220211020
423120201312313000
5200013002014304
65340502345440
7611614065642
oct133041666700
934484126736
1012222688704
115202430a26
12245142b280
1311ca333ca5
1483d428892
154b80ac5d9
hex2d8876dc0

12222688704 has 112 divisors (see below), whose sum is σ = 34382610432. Its totient is φ = 3823485952.

The previous prime is 12222688703. The next prime is 12222688739. The reversal of 12222688704 is 40788622221.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12222688703) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 207937 + ... + 260159.

Almost surely, 212222688704 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12222688704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17191305216).

12222688704 is an abundant number, since it is smaller than the sum of its proper divisors (22159921728).

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

12222688704 is a wasteful number, since it uses less digits than its factorization.

12222688704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52314 (or 52304 counting only the distinct ones).

The product of its (nonzero) digits is 172032, while the sum is 42.

The spelling of 12222688704 in words is "twelve billion, two hundred twenty-two million, six hundred eighty-eight thousand, seven hundred four".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 46 48 53 64 69 92 96 106 138 159 184 192 212 276 318 368 424 552 636 736 848 1104 1219 1272 1472 1696 2208 2438 2544 3392 3657 4416 4876 5088 7314 9752 10176 14628 19504 29256 39008 52223 58512 78016 104446 117024 156669 208892 234048 313338 417784 626676 835568 1201129 1253352 1671136 2402258 2506704 2767819 3342272 3603387 4804516 5013408 5535638 7206774 8303457 9609032 10026816 11071276 14413548 16606914 19218064 22142552 28827096 33213828 38436128 44285104 57654192 63659837 66427656 76872256 88570208 115308384 127319674 132855312 177140416 190979511 230616768 254639348 265710624 381959022 509278696 531421248 763918044 1018557392 1527836088 2037114784 3055672176 4074229568 6111344352 12222688704