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12120000000 = 29357101
BaseRepresentation
bin10110100100110100…
…01000011000000000
31011021122220210101220
423102122020120000
5144310210000000
65322353355040
7606226204653
oct132232103000
934248823356
1012120000000
11515a473429
122422b68a80
1311b1c8b744
1482d93789a
154ae0761a0
hex2d2688600

12120000000 has 320 divisors, whose sum is σ = 40760051904. Its totient is φ = 3200000000.

The previous prime is 12119999999. The next prime is 12120000019. The reversal of 12120000000 is 2121.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 119999950 + ... + 120000050.

Almost surely, 212120000000 is an apocalyptic number.

12120000000 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 12120000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20380025952).

12120000000 is an abundant number, since it is smaller than the sum of its proper divisors (28640051904).

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

12120000000 is an frugal number, since it uses more digits than its factorization.

12120000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 6.

Adding to 12120000000 its reverse (2121), we get a palindrome (12120002121).

The spelling of 12120000000 in words is "twelve billion, one hundred twenty million", and thus it is an aban number.