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12380874000 = 24353111091721
BaseRepresentation
bin10111000011111010…
…10010010100010000
31011221211210120020220
423201331102110100
5200324000432000
65404313033040
7615544456365
oct134175222420
934854716226
1012380874000
115283753980
1224963b5780
13122403a761
1485644446c
154c6e071a0
hex2e1f52510

12380874000 has 320 divisors, whose sum is σ = 43969685760. Its totient is φ = 2972160000.

The previous prime is 12380873969. The next prime is 12380874043. The reversal of 12380874000 is 47808321.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7193140 + ... + 7194860.

It is an arithmetic number, because the mean of its divisors is an integer number (137405268).

Almost surely, 212380874000 is an apocalyptic number.

12380874000 is a gapful number since it is divisible by the number (10) 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 12380874000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21984842880).

12380874000 is an abundant number, since it is smaller than the sum of its proper divisors (31588811760).

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

12380874000 is a wasteful number, since it uses less digits than its factorization.

12380874000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1867 (or 1851 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 33.

The spelling of 12380874000 in words is "twelve billion, three hundred eighty million, eight hundred seventy-four thousand".