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12221012112 = 2434310315743
BaseRepresentation
bin10110110000110110…
…11101100010010000
31011112200222201222020
423120123131202100
5200012034341422
65340402411440
7611563613631
oct133033354220
934480881866
1012221012112
115201496311
122450960b80
1311c9b97b1a
1483d10d888
154b7d7a95c
hex2d86dd890

12221012112 has 80 divisors (see below), whose sum is σ = 32342120448. Its totient is φ = 3974382720.

The previous prime is 12221012087. The next prime is 12221012117. The reversal of 12221012112 is 21121012221.

It is a junction number, because it is equal to n+sod(n) for n = 12221012091 and 12221012100.

It is not an unprimeable number, because it can be changed into a prime (12221012117) 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, 2125113 + ... + 2130855.

Almost surely, 212221012112 is an apocalyptic number.

12221012112 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 12221012112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16171060224).

12221012112 is an abundant number, since it is smaller than the sum of its proper divisors (20121108336).

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

12221012112 is a wasteful number, since it uses less digits than its factorization.

12221012112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6828 (or 6822 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 12221012112 its reverse (21121012221), we get a palindrome (33342024333).

The spelling of 12221012112 in words is "twelve billion, two hundred twenty-one million, twelve thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 43 48 86 129 172 258 344 516 688 1031 1032 2062 2064 3093 4124 5743 6186 8248 11486 12372 16496 17229 22972 24744 34458 44333 45944 49488 68916 88666 91888 132999 137832 177332 246949 265998 275664 354664 493898 531996 709328 740847 987796 1063992 1481694 1975592 2127984 2963388 3951184 5921033 5926776 11842066 11853552 17763099 23684132 35526198 47368264 71052396 94736528 142104792 254604419 284209584 509208838 763813257 1018417676 1527626514 2036835352 3055253028 4073670704 6110506056 12221012112