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22121000001220 = 2251816110773481
BaseRepresentation
bin1010000011110011100100…
…10110001101111011000100
32220022202011112011021220111
411001321302112031323010
510344412302000014340
6115014125213042404
74442122000406551
oct501716226157304
986282145137814
1022121000001220
11705951089772a
122593246186404
13c46002c70063
1456693aba1a28
152856409eaaea
hex141e7258dec4

22121000001220 has 24 divisors (see below), whose sum is σ = 46710752496408. Its totient is φ = 8799513811200.

The previous prime is 22121000001193. The next prime is 22121000001223. The reversal of 22121000001220 is 2210000012122.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 5104816704 + 22115895184516 = 71448^2 + 4702754^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 22121000001220.

It is not an unprimeable number, because it can be changed into a prime (22121000001223) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3055383121 + ... + 3055390360.

It is an arithmetic number, because the mean of its divisors is an integer number (1946281354017).

Almost surely, 222121000001220 is an apocalyptic number.

22121000001220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22121000001220 is an abundant number, since it is smaller than the sum of its proper divisors (24589752495188).

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

22121000001220 is a wasteful number, since it uses less digits than its factorization.

22121000001220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6110773671 (or 6110773669 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 22121000001220 its reverse (2210000012122), we get a palindrome (24331000013342).

The spelling of 22121000001220 in words is "twenty-two trillion, one hundred twenty-one billion, one thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 181 362 724 905 1810 3620 6110773481 12221546962 24443093924 30553867405 61107734810 122215469620 1106050000061 2212100000122 4424200000244 5530250000305 11060500000610 22121000001220