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22012100012120 = 2351135938212367
BaseRepresentation
bin1010000000101000101110…
…11001101110100001011000
32212221100002002121122210212
411000110113121232201120
510341121240100341440
6114452115200230252
74431215233646141
oct500242731564130
985840062548725
1022012100012120
11701730866a039
12257611390b388
13c38969628a9a
14561569b20ac8
152828ba28c465
hex14051766e858

22012100012120 has 64 divisors (see below), whose sum is σ = 50049784033920. Its totient is φ = 8712203444224.

The previous prime is 22012100012081. The next prime is 22012100012131. The reversal of 22012100012120 is 2121000121022.

It is a junction number, because it is equal to n+sod(n) for n = 22012100012095 and 22012100012104.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1425824 + ... + 6786543.

It is an arithmetic number, because the mean of its divisors is an integer number (782027875530).

Almost surely, 222012100012120 is an apocalyptic number.

22012100012120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22012100012120 is an abundant number, since it is smaller than the sum of its proper divisors (28037684021800).

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

22012100012120 is a wasteful number, since it uses less digits than its factorization.

22012100012120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8213084 (or 8213080 counting only the distinct ones).

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

Adding to 22012100012120 its reverse (2121000121022), we get a palindrome (24133100133142).

The spelling of 22012100012120 in words is "twenty-two trillion, twelve billion, one hundred million, twelve thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 113 226 452 565 593 904 1130 1186 2260 2372 2965 4520 4744 5930 11860 23720 67009 134018 268036 335045 536072 670090 1340180 2680360 8212367 16424734 32849468 41061835 65698936 82123670 164247340 328494680 927997471 1855994942 3711989884 4639987355 4869933631 7423979768 9279974710 9739867262 18559949420 19479734524 24349668155 37119898840 38959469048 48699336310 97398672620 194797345240 550302500303 1100605000606 2201210001212 2751512501515 4402420002424 5503025003030 11006050006060 22012100012120