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121163856 = 243112941193
BaseRepresentation
bin1110011100011…
…01000001010000
322102222202120020
413032031001100
5222004220411
620004543440
73000606252
oct716150120
9272882506
10121163856
1162437220
12346b1b80
131c1438b8
141213dcd2
15a985606
hex738d050

121163856 has 160 divisors (see below), whose sum is σ = 363726720. Its totient is φ = 34406400.

The previous prime is 121163851. The next prime is 121163869. The reversal of 121163856 is 658361121.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121163851) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 627696 + ... + 627888.

It is an arithmetic number, because the mean of its divisors is an integer number (2273292).

Almost surely, 2121163856 is an apocalyptic number.

121163856 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 121163856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181863360).

121163856 is an abundant number, since it is smaller than the sum of its proper divisors (242562864).

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

121163856 is a wasteful number, since it uses less digits than its factorization.

121163856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 285 (or 279 counting only the distinct ones).

The product of its digits is 8640, while the sum is 33.

The square root of 121163856 is about 11007.4454802193. The cubic root of 121163856 is about 494.8319070104.

The spelling of 121163856 in words is "one hundred twenty-one million, one hundred sixty-three thousand, eight hundred fifty-six".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 29 33 41 44 48 58 66 82 87 88 116 123 132 164 174 176 193 232 246 264 319 328 348 386 451 464 492 528 579 638 656 696 772 902 957 984 1158 1189 1276 1353 1392 1544 1804 1914 1968 2123 2316 2378 2552 2706 3088 3567 3608 3828 4246 4632 4756 5104 5412 5597 6369 7134 7216 7656 7913 8492 9264 9512 10824 11194 12738 13079 14268 15312 15826 16791 16984 19024 21648 22388 23739 25476 26158 28536 31652 33582 33968 39237 44776 47478 50952 52316 57072 61567 63304 67164 78474 87043 89552 94956 101904 104632 123134 126608 134328 156948 174086 184701 189912 209264 229477 246268 261129 268656 313896 348172 369402 379824 458954 492536 522258 627792 688431 696344 738804 917908 985072 1044516 1376862 1392688 1477608 1835816 2089032 2524247 2753724 2955216 3671632 4178064 5048494 5507448 7572741 10096988 11014896 15145482 20193976 30290964 40387952 60581928 121163856