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221122121120000 = 28541382013257
BaseRepresentation
bin110010010001110000000001…
…011110110011100100000000
31001222221001211210221122211122
4302101300001132303210000
5212440331101001320000
62102142033341331412
764401355203440252
oct6221600136634400
91058831753848748
10221122121120000
1164502401804231
1220972b46b66b68
13964c95a2c97a9
143c86521217cd2
151a86d6197c085
hexc91c017b3900

221122121120000 has 90 divisors (see below), whose sum is σ = 551549053148478. Its totient is φ = 88448848384000.

The previous prime is 221122121119997. The next prime is 221122121120099. The reversal of 221122121120000 is 21121221122.

It can be written as a sum of positive squares in 5 ways, for example, as 25882534150144 + 195239586969856 = 5087488^2 + 13972816^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 690846629 + ... + 691166628.

Almost surely, 2221122121120000 is an apocalyptic number.

221122121120000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221122121120000 is an abundant number, since it is smaller than the sum of its proper divisors (330426932028478).

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

221122121120000 is an frugal number, since it uses more digits than its factorization.

221122121120000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1382013293 (or 1382013264 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 221122121120000 its reverse (21121221122), we get a palindrome (221143242341122).

The spelling of 221122121120000 in words is "two hundred twenty-one trillion, one hundred twenty-two billion, one hundred twenty-one million, one hundred twenty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 128 160 200 250 256 320 400 500 625 640 800 1000 1250 1280 1600 2000 2500 3200 4000 5000 6400 8000 10000 16000 20000 32000 40000 80000 160000 1382013257 2764026514 5528053028 6910066285 11056106056 13820132570 22112212112 27640265140 34550331425 44224424224 55280530280 69100662850 88448848448 110561060560 138201325700 172751657125 176897696896 221122121120 276402651400 345503314250 353795393792 442244242240 552805302800 691006628500 863758285625 884488484480 1105610605600 1382013257000 1727516571250 1768976968960 2211221211200 2764026514000 3455033142500 4422442422400 5528053028000 6910066285000 8844884844800 11056106056000 13820132570000 22112212112000 27640265140000 44224424224000 55280530280000 110561060560000 221122121120000