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22121021222120 = 235843496556397
BaseRepresentation
bin1010000011110011100111…
…00111001010110011101000
32220022202020000002102111202
411001321303213022303220
510344412322413101440
6115014131251543332
74442122345652222
oct501716347126350
986282200072452
1022121021222120
117059521871267
1225932512bab48
13c460074900c2
1456693d927412
152856427dd615
hex141e739cace8

22121021222120 has 32 divisors (see below), whose sum is σ = 49772895417000. Its totient is φ = 8848302236928.

The previous prime is 22121021222117. The next prime is 22121021222123. The reversal of 22121021222120 is 2122212012122.

It is an interprime number because it is at equal distance from previous prime (22121021222117) and next prime (22121021222123).

It can be written as a sum of positive squares in 4 ways, for example, as 17972393656996 + 4148627565124 = 4239386^2 + 2036818^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 22121021222092 and 22121021222101.

It is not an unprimeable number, because it can be changed into a prime (22121021222123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 95762 + ... + 6652158.

Almost surely, 222121021222120 is an apocalyptic number.

22121021222120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22121021222120 is an abundant number, since it is smaller than the sum of its proper divisors (27651874194880).

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

22121021222120 is a wasteful number, since it uses less digits than its factorization.

22121021222120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6640757 (or 6640753 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

Adding to 22121021222120 its reverse (2122212012122), we get a palindrome (24243233234242).

The spelling of 22121021222120 in words is "twenty-two trillion, one hundred twenty-one billion, twenty-one million, two hundred twenty-two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 84349 168698 337396 421745 674792 843490 1686980 3373960 6556397 13112794 26225588 32781985 52451176 65563970 131127940 262255880 553025530553 1106051061106 2212102122212 2765127652765 4424204244424 5530255305530 11060510611060 22121021222120