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1220120122100 = 2252115861189251
BaseRepresentation
bin10001110000010100110…
…100111001001011110100
311022122100021021012202212
4101300110310321023310
5124442301222401400
62332303200352552
7154102466630105
oct21602464711364
94278307235685
101220120122100
114304a5000680
12178573915758
138b097b2ccb9
14430a875c3ac
1521b11283335
hex11c14d392f4

1220120122100 has 72 divisors (see below), whose sum is σ = 2888865163296. Its totient is φ = 443602000000.

The previous prime is 1220120122043. The next prime is 1220120122121. The reversal of 1220120122100 is 12210210221.

It is a super-2 number, since 2×12201201221002 (a number of 25 digits) contains 22 as substring.

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 23 ways as a sum of consecutive naturals, for example, 6352475 + ... + 6541725.

It is an arithmetic number, because the mean of its divisors is an integer number (40123127268).

Almost surely, 21220120122100 is an apocalyptic number.

1220120122100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1220120122100 is an abundant number, since it is smaller than the sum of its proper divisors (1668745041196).

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

1220120122100 is a wasteful number, since it uses less digits than its factorization.

1220120122100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 195137 (or 195130 counting only the distinct ones).

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

Adding to 1220120122100 its reverse (12210210221), we get a palindrome (1232330332321).

The spelling of 1220120122100 in words is "one trillion, two hundred twenty billion, one hundred twenty million, one hundred twenty-two thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 220 275 550 1100 5861 11722 23444 29305 58610 64471 117220 128942 146525 189251 257884 293050 322355 378502 586100 644710 757004 946255 1289420 1611775 1892510 2081761 3223550 3785020 4163522 4731275 6447100 8327044 9462550 10408805 18925100 20817610 41635220 52044025 104088050 208176100 1109200111 2218400222 4436800444 5546000555 11092001110 12201201221 22184002220 24402402442 27730002775 48804804884 55460005550 61006006105 110920011100 122012012210 244024024420 305030030525 610060061050 1220120122100