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22121201120 = 255138257507
BaseRepresentation
bin10100100110100001…
…101011110111100000
32010002122221110011012
4110212201223313200
5330301011413440
614055022040052
71412120051504
oct244641536740
963078843135
1022121201120
1194219288a7
124354419028
132116ca9825
1410dbcd0304
158970bee65
hex52686bde0

22121201120 has 24 divisors (see below), whose sum is σ = 52261338024. Its totient is φ = 8848480384.

The previous prime is 22121201107. The next prime is 22121201191. The reversal of 22121201120 is 2110212122.

It is a junction number, because it is equal to n+sod(n) for n = 22121201095 and 22121201104.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 69128594 + ... + 69128913.

It is an arithmetic number, because the mean of its divisors is an integer number (2177555751).

Almost surely, 222121201120 is an apocalyptic number.

22121201120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22121201120 is an abundant number, since it is smaller than the sum of its proper divisors (30140136904).

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

22121201120 is a wasteful number, since it uses less digits than its factorization.

22121201120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138257522 (or 138257514 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 22121201120 its reverse (2110212122), we get a palindrome (24231413242).

The spelling of 22121201120 in words is "twenty-two billion, one hundred twenty-one million, two hundred one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 138257507 276515014 553030028 691287535 1106060056 1382575070 2212120112 2765150140 4424240224 5530300280 11060600560 22121201120