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12170755040 = 255661115079
BaseRepresentation
bin10110101010110111…
…01111101111100000
31011102012102102020012
423111123233233200
5144411203130130
65331405304052
7610413465563
oct132533575740
934365372205
1012170755040
11518608a444
122437b65028
1311bc64c702
1483658a4da
154b374e995
hex2d56efbe0

12170755040 has 48 divisors (see below), whose sum is σ = 28797158880. Its totient is φ = 4860894720.

The previous prime is 12170755013. The next prime is 12170755043. The reversal of 12170755040 is 4055707121.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 12170754988 and 12170755006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12170755043) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 48221 + ... + 163299.

It is an arithmetic number, because the mean of its divisors is an integer number (599940810).

Almost surely, 212170755040 is an apocalyptic number.

12170755040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12170755040 is an abundant number, since it is smaller than the sum of its proper divisors (16626403840).

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

12170755040 is a wasteful number, since it uses less digits than its factorization.

12170755040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115755 (or 115747 counting only the distinct ones).

The product of its (nonzero) digits is 9800, while the sum is 32.

The spelling of 12170755040 in words is "twelve billion, one hundred seventy million, seven hundred fifty-five thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 661 1322 2644 3305 5288 6610 10576 13220 21152 26440 52880 105760 115079 230158 460316 575395 920632 1150790 1841264 2301580 3682528 4603160 9206320 18412640 76067219 152134438 304268876 380336095 608537752 760672190 1217075504 1521344380 2434151008 3042688760 6085377520 12170755040