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22121101120 = 265196595521
BaseRepresentation
bin10100100110100001…
…010011011101000000
32010002122202100222111
4110212201103131000
5330301000213440
614055015545104
71412116154116
oct244641233500
963078670874
1022121101120
11942186a758
12435438b194
132116c73161
1410dbca5ab6
158970a04ea
hex526853740

22121101120 has 112 divisors (see below), whose sum is σ = 55542484800. Its totient is φ = 8368496640.

The previous prime is 22121101111. The next prime is 22121101147. The reversal of 22121101120 is 2110112122.

It is a super-2 number, since 2×221211011202 (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 22121101120.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4003960 + ... + 4009480.

Almost surely, 222121101120 is an apocalyptic number.

22121101120 is a gapful number since it is divisible by the number (20) 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 22121101120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27771242400).

22121101120 is an abundant number, since it is smaller than the sum of its proper divisors (33421383680).

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

22121101120 is a wasteful number, since it uses less digits than its factorization.

22121101120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6216 (or 6206 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 22121101120 its reverse (2110112122), we get a palindrome (24231213242).

The spelling of 22121101120 in words is "twenty-two billion, one hundred twenty-one million, one hundred one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 19 20 32 38 40 64 76 80 95 152 160 190 304 320 380 608 659 760 1216 1318 1520 2636 3040 3295 5272 5521 6080 6590 10544 11042 12521 13180 21088 22084 25042 26360 27605 42176 44168 50084 52720 55210 62605 88336 100168 104899 105440 110420 125210 176672 200336 209798 210880 220840 250420 353344 400672 419596 441680 500840 524495 801344 839192 883360 1001680 1048990 1678384 1766720 2003360 2097980 3356768 3638339 4006720 4195960 6713536 7276678 8391920 14553356 16783840 18191695 29106712 33567680 36383390 58213424 69128441 72766780 116426848 138256882 145533560 232853696 276513764 291067120 345642205 553027528 582134240 691284410 1106055056 1164268480 1382568820 2212110112 2765137640 4424220224 5530275280 11060550560 22121101120