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12199151952 = 24321328323027
BaseRepresentation
bin10110101110010000…
…00100100101010000
31011111011212010110200
423113020010211100
5144440440330302
65334302055200
7611210036451
oct132710044520
934434763420
1012199151952
1151a0115469
12244557a500
1311c54b2b10
1483a25d128
154b5ead81c
hex2d7204950

12199151952 has 120 divisors (see below), whose sum is σ = 36898409184. Its totient is φ = 3740159232.

The previous prime is 12199151897. The next prime is 12199151969. The reversal of 12199151952 is 25915199121.

12199151952 is a `hidden beast` number, since 121 + 9 + 9 + 1 + 519 + 5 + 2 = 666.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 12199151898 and 12199151907.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 518263 + ... + 541289.

Almost surely, 212199151952 is an apocalyptic number.

12199151952 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 12199151952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18449204592).

12199151952 is an abundant number, since it is smaller than the sum of its proper divisors (24699257232).

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

12199151952 is a wasteful number, since it uses less digits than its factorization.

12199151952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23337 (or 23328 counting only the distinct ones).

The product of its digits is 72900, while the sum is 45.

The spelling of 12199151952 in words is "twelve billion, one hundred ninety-nine million, one hundred fifty-one thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 36 39 48 52 72 78 104 117 144 156 208 234 283 312 468 566 624 849 936 1132 1698 1872 2264 2547 3396 3679 4528 5094 6792 7358 10188 11037 13584 14716 20376 22074 23027 29432 33111 40752 44148 46054 58864 66222 69081 88296 92108 132444 138162 176592 184216 207243 264888 276324 299351 368432 414486 529776 552648 598702 828972 898053 1105296 1197404 1657944 1796106 2394808 2694159 3315888 3592212 4789616 5388318 6516641 7184424 10776636 13033282 14368848 19549923 21553272 26066564 39099846 43106544 52133128 58649769 78199692 84716333 104266256 117299538 156399384 169432666 234599076 254148999 312798768 338865332 469198152 508297998 677730664 762446997 938396304 1016595996 1355461328 1524893994 2033191992 3049787988 4066383984 6099575976 12199151952