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121000117992 = 233131422127271
BaseRepresentation
bin111000010110000101…
…0110100011011101000
3102120022201001212110120
41300230022310123220
53440302012233432
6131330420243240
711512332014205
oct1605412643350
9376281055416
10121000117992
1147352459616
121b54a840520
13b544466170
145bdc0c4cac
153232babc2c
hex1c2c2b46e8

121000117992 has 64 divisors (see below), whose sum is σ = 325804402560. Its totient is φ = 37226822400.

The previous prime is 121000117967. The next prime is 121000118033. The reversal of 121000117992 is 299711000121.

121000117992 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1210001179922 (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

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, 4423317 + ... + 4450587.

It is an arithmetic number, because the mean of its divisors is an integer number (5090693790).

Almost surely, 2121000117992 is an apocalyptic number.

121000117992 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

121000117992 is an abundant number, since it is smaller than the sum of its proper divisors (204804284568).

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

121000117992 is a wasteful number, since it uses less digits than its factorization.

121000117992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41514 (or 41510 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 33.

The spelling of 121000117992 in words is "one hundred twenty-one billion, one hundred seventeen thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 78 104 156 312 14221 27271 28442 42663 54542 56884 81813 85326 109084 113768 163626 170652 184873 218168 327252 341304 354523 369746 554619 654504 709046 739492 1063569 1109238 1418092 1478984 2127138 2218476 2836184 4254276 4436952 8508552 387820891 775641782 1163462673 1551283564 2326925346 3102567128 4653850692 5041671583 9307701384 10083343166 15125014749 20166686332 30250029498 40333372664 60500058996 121000117992