Search a number
-
+
12012520000 = 26541321777
BaseRepresentation
bin10110011000000000…
…01000001001000000
31011000011200020120011
423030000020021000
5144100201120000
65303553554304
7603452510125
oct131400101100
934004606504
1012012520000
115104833088
1223b2b75994
131195929400
1481d55a74c
154a48e52ba
hex2cc008240

12012520000 has 210 divisors, whose sum is σ = 32272870938. Its totient is φ = 4432896000.

The previous prime is 12012519997. The next prime is 12012520007. The reversal of 12012520000 is 2521021.

It can be written as a sum of positive squares in 15 ways, for example, as 11105787456 + 906732544 = 105384^2 + 30112^2 .

It is a Harshad number since it is a multiple of its sum of digits (13).

It is not an unprimeable number, because it can be changed into a prime (12012520007) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 6759112 + ... + 6760888.

Almost surely, 212012520000 is an apocalyptic number.

12012520000 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 12012520000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16136435469).

12012520000 is an abundant number, since it is smaller than the sum of its proper divisors (20260350938).

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

12012520000 is an equidigital number, since it uses as much as digits as its factorization.

12012520000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1835 (or 1797 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 13.

The spelling of 12012520000 in words is "twelve billion, twelve million, five hundred twenty thousand".