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12822052872 = 2331924673169
BaseRepresentation
bin10111111000100000…
…10000000000001000
31020002120221202220010
423330100100000020
5202224421142442
65520153031520
7632512436226
oct137420200010
936076852803
1012822052872
11548a795112
12259a0b55a0
131294569345
14898c87b16
15500a01b9c
hex2fc410008

12822052872 has 96 divisors (see below), whose sum is σ = 33914181600. Its totient is φ = 4039123968.

The previous prime is 12822052871. The next prime is 12822052883. The reversal of 12822052872 is 27825022821.

It is a self number, because there is not a number n which added to its sum of digits gives 12822052872.

It is not an unprimeable number, because it can be changed into a prime (12822052871) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4044504 + ... + 4047672.

It is an arithmetic number, because the mean of its divisors is an integer number (353272725).

Almost surely, 212822052872 is an apocalyptic number.

12822052872 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 12822052872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16957090800).

12822052872 is an abundant number, since it is smaller than the sum of its proper divisors (21092128728).

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

12822052872 is a wasteful number, since it uses less digits than its factorization.

12822052872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3683 (or 3660 counting only the distinct ones).

The product of its (nonzero) digits is 71680, while the sum is 39.

The spelling of 12822052872 in words is "twelve billion, eight hundred twenty-two million, fifty-two thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 19 24 38 57 76 114 152 228 361 456 467 722 934 1083 1401 1444 1868 2166 2802 2888 3169 3736 4332 5604 6338 8664 8873 9507 11208 12676 17746 19014 25352 26619 35492 38028 53238 60211 70984 76056 106476 120422 168587 180633 212952 240844 337174 361266 481688 505761 674348 722532 1011522 1144009 1348696 1445064 1479923 2023044 2288018 2959846 3432027 4046088 4439769 4576036 5919692 6864054 8879538 9152072 11839384 13728108 17759076 27456216 28118537 35518152 56237074 84355611 112474148 168711222 224948296 337422444 534252203 674844888 1068504406 1602756609 2137008812 3205513218 4274017624 6411026436 12822052872