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121001323296 = 2537296209017
BaseRepresentation
bin111000010110000111…
…1011010101100100000
3102120022210100002211110
41300230033122230200
53440302314321141
6131330502143320
711512345164210
oct1605417325440
9376283302743
10121001323296
1147353102137
121b54b121b40
13b544798969
145bdc31a240
153232d48e16
hex1c2c3dab20

121001323296 has 96 divisors (see below), whose sum is σ = 375521408640. Its totient is φ = 33379670016.

The previous prime is 121001323271. The next prime is 121001323297. The reversal of 121001323296 is 692323100121.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×1210013232962 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (121001323297) 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, 3085021 + ... + 3123996.

It is an arithmetic number, because the mean of its divisors is an integer number (3911681340).

Almost surely, 2121001323296 is an apocalyptic number.

121001323296 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

121001323296 is an abundant number, since it is smaller than the sum of its proper divisors (254520085344).

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

121001323296 is a wasteful number, since it uses less digits than its factorization.

121001323296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6209066 (or 6209058 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 30.

The spelling of 121001323296 in words is "one hundred twenty-one billion, one million, three hundred twenty-three thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 29 32 42 48 56 58 84 87 96 112 116 168 174 203 224 232 336 348 406 464 609 672 696 812 928 1218 1392 1624 2436 2784 3248 4872 6496 9744 19488 6209017 12418034 18627051 24836068 37254102 43463119 49672136 74508204 86926238 99344272 130389357 149016408 173852476 180061493 198688544 260778714 298032816 347704952 360122986 521557428 540184479 596065632 695409904 720245972 1043114856 1080368958 1260430451 1390819808 1440491944 2086229712 2160737916 2520860902 2880983888 3781291353 4172459424 4321475832 5041721804 5761967776 7562582706 8642951664 10083443608 15125165412 17285903328 20166887216 30250330824 40333774432 60500661648 121001323296