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122891899936 = 25132414432767
BaseRepresentation
bin111001001110011101…
…1011001010000100000
3102202012112210100102111
41302130323121100200
54003140311244221
6132242235525104
711610242625361
oct1623473312040
9382175710374
10122891899936
1148133301373
121b9982b9794
13b786380270
145d3b44db68
1532e3ce4be1
hex1c9ced9420

122891899936 has 96 divisors (see below), whose sum is σ = 262320968448. Its totient is φ = 56336117760.

The previous prime is 122891899853. The next prime is 122891899939. The reversal of 122891899936 is 639998198221.

It is not an unprimeable number, because it can be changed into a prime (122891899939) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 44412025 + ... + 44414791.

It is an arithmetic number, because the mean of its divisors is an integer number (2732510088).

Almost surely, 2122891899936 is an apocalyptic number.

122891899936 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 122891899936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131160484224).

122891899936 is an abundant number, since it is smaller than the sum of its proper divisors (139429068512).

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

122891899936 is a wasteful number, since it uses less digits than its factorization.

122891899936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3474 (or 3466 counting only the distinct ones).

The product of its digits is 30233088, while the sum is 67.

The spelling of 122891899936 in words is "one hundred twenty-two billion, eight hundred ninety-one million, eight hundred ninety-nine thousand, nine hundred thirty-six".

Divisors: 1 2 4 8 13 16 26 32 52 104 208 241 416 443 482 886 964 1772 1928 2767 3133 3544 3856 5534 5759 6266 7088 7712 11068 11518 12532 14176 22136 23036 25064 35971 44272 46072 50128 71942 88544 92144 100256 106763 143884 184288 213526 287768 427052 575536 666847 854104 1151072 1225781 1333694 1387919 1708208 2451562 2667388 2775838 3416416 4903124 5334776 5551676 8669011 9806248 10669552 11103352 15935153 17338022 19612496 21339104 22206704 31870306 34676044 39224992 44413408 63740612 69352088 127481224 138704176 254962448 277408352 295413221 509924896 590826442 1181652884 2363305768 3840371873 4726611536 7680743746 9453223072 15361487492 30722974984 61445949968 122891899936