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121086432 = 2532420439
BaseRepresentation
bin1110011011110…
…10000111100000
322102211211100200
413031322013200
5221444231212
620003145200
73000134445
oct715720740
9272754320
10121086432
1162394035
1234675200
131c11759c
141211d9cc
15a96c6dc
hex737a1e0

121086432 has 36 divisors (see below), whose sum is σ = 344340360. Its totient is φ = 40362048.

The previous prime is 121086431. The next prime is 121086457. The reversal of 121086432 is 234680121.

121086432 is a `hidden beast` number, since 1 + 2 + 10 + 8 + 643 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 121086396 and 121086405.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121086431) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 209932 + ... + 210507.

It is an arithmetic number, because the mean of its divisors is an integer number (9565010).

Almost surely, 2121086432 is an apocalyptic number.

121086432 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

121086432 is an abundant number, since it is smaller than the sum of its proper divisors (223253928).

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

121086432 is a wasteful number, since it uses less digits than its factorization.

121086432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 420455 (or 420444 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 121086432 is about 11003.9280259369. The cubic root of 121086432 is about 494.7264849531.

The spelling of 121086432 in words is "one hundred twenty-one million, eighty-six thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 420439 840878 1261317 1681756 2522634 3363512 3783951 5045268 6727024 7567902 10090536 13454048 15135804 20181072 30271608 40362144 60543216 121086432