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12090570000 = 2435417151157
BaseRepresentation
bin10110100001010011…
…10111010100010000
31011012121112121000220
423100221313110100
5144230141220000
65315422513040
7605421102135
oct132051672420
934177477026
1012090570000
1151448a2213
122415135780
1311a8b56042
14829a7658c
154ab6b11a0
hex2d0a77510

12090570000 has 400 divisors, whose sum is σ = 41864499072. Its totient is φ = 2995200000.

The previous prime is 12090569999. The next prime is 12090570007. The reversal of 12090570000 is 7509021.

It is a tau number, because it is divible by the number of its divisors (400).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (12090570007) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 77009922 + ... + 77010078.

Almost surely, 212090570000 is an apocalyptic number.

12090570000 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 12090570000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20932249536).

12090570000 is an abundant number, since it is smaller than the sum of its proper divisors (29773929072).

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

12090570000 is a wasteful number, since it uses less digits than its factorization.

12090570000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 356 (or 335 counting only the distinct ones).

The product of its (nonzero) digits is 630, while the sum is 24.

The spelling of 12090570000 in words is "twelve billion, ninety million, five hundred seventy thousand".