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12199823232 = 273533311811
BaseRepresentation
bin10110101110010101…
…01000011110000000
31011111020010020021220
423113022220132000
5144441123320412
65334324315040
7611215533522
oct132712503600
934436106256
1012199823232
1151a0533843
122445842a80
1311c568951c
1483a395a12
154b609268c
hex2d72a8780

12199823232 has 128 divisors (see below), whose sum is σ = 33135246720. Its totient is φ = 3975628800.

The previous prime is 12199823201. The next prime is 12199823239. The reversal of 12199823232 is 23232899121.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12199823239) 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, 6735607 + ... + 6737417.

It is an arithmetic number, because the mean of its divisors is an integer number (258869115).

Almost surely, 212199823232 is an apocalyptic number.

12199823232 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 12199823232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16567623360).

12199823232 is an abundant number, since it is smaller than the sum of its proper divisors (20935423488).

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

12199823232 is a wasteful number, since it uses less digits than its factorization.

12199823232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2212 (or 2200 counting only the distinct ones).

The product of its digits is 93312, while the sum is 42.

The spelling of 12199823232 in words is "twelve billion, one hundred ninety-nine million, eight hundred twenty-three thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 53 64 96 106 128 159 192 212 318 331 384 424 636 662 848 993 1272 1324 1696 1811 1986 2544 2648 3392 3622 3972 5088 5296 5433 6784 7244 7944 10176 10592 10866 14488 15888 17543 20352 21184 21732 28976 31776 35086 42368 43464 52629 57952 63552 70172 86928 95983 105258 115904 127104 140344 173856 191966 210516 231808 280688 287949 347712 383932 421032 561376 575898 599441 695424 767864 842064 1122752 1151796 1198882 1535728 1684128 1798323 2245504 2303592 2397764 3071456 3368256 3596646 4607184 4795528 6142912 6736512 7193292 9214368 9591056 12285824 14386584 18428736 19182112 28773168 31770373 36857472 38364224 57546336 63540746 76728448 95311119 115092672 127081492 190622238 230185344 254162984 381244476 508325968 762488952 1016651936 1524977904 2033303872 3049955808 4066607744 6099911616 12199823232