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121438992 = 24359137313
BaseRepresentation
bin1110011110100…
…00001100010000
322110111201222110
413033100030100
5222042021432
620014505320
73003133353
oct717201420
9273451873
10121438992
1162604a04
1234805240
131c20bbbc
14121b229a
15a9dbdcc
hex73d0310

121438992 has 80 divisors (see below), whose sum is σ = 322390080. Its totient is φ = 39376896.

The previous prime is 121438963. The next prime is 121439047. The reversal of 121438992 is 299834121.

It is a self number, because there is not a number n which added to its sum of digits gives 121438992.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 387828 + ... + 388140.

It is an arithmetic number, because the mean of its divisors is an integer number (4029876).

Almost surely, 2121438992 is an apocalyptic number.

121438992 is a gapful number since it is divisible by the number (12) 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 121438992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161195040).

121438992 is an abundant number, since it is smaller than the sum of its proper divisors (200951088).

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

121438992 is a wasteful number, since it uses less digits than its factorization.

121438992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 520 (or 514 counting only the distinct ones).

The product of its digits is 31104, while the sum is 39.

The square root of 121438992 is about 11019.9361159673. The cubic root of 121438992 is about 495.2061746990.

The spelling of 121438992 in words is "one hundred twenty-one million, four hundred thirty-eight thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 16 24 48 59 118 137 177 236 274 313 354 411 472 548 626 708 822 939 944 1096 1252 1416 1644 1878 2192 2504 2832 3288 3756 5008 6576 7512 8083 15024 16166 18467 24249 32332 36934 42881 48498 55401 64664 73868 85762 96996 110802 128643 129328 147736 171524 193992 221604 257286 295472 343048 387984 443208 514572 686096 886416 1029144 2058288 2529979 5059958 7589937 10119916 15179874 20239832 30359748 40479664 60719496 121438992