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12120000000000 = 2123510101
BaseRepresentation
bin1011000001011110100001…
…0010110111000000000000
31120220122211122020201021220
42300113220102313000000
53042033230000000000
641435503502315040
72360432620124634
oct260275022670000
946818748221256
1012120000000000
113953077039a22
121438b2b588a80
1369bbac8a6c49
142dc87ad24dc4
15160407dc61a0
hexb05e84b7000

12120000000000 has 572 divisors, whose sum is σ = 40795018695768. Its totient is φ = 3200000000000.

The previous prime is 12119999999927. The next prime is 12120000000013. The reversal of 12120000000000 is 2121.

It is a happy number.

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 polite number, since it can be written in 43 ways as a sum of consecutive naturals, for example, 119999999950 + ... + 120000000050.

Almost surely, 212120000000000 is an apocalyptic number.

12120000000000 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 12120000000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20397509347884).

12120000000000 is an abundant number, since it is smaller than the sum of its proper divisors (28675018695768).

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

12120000000000 is an frugal number, since it uses more digits than its factorization.

12120000000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 178 (or 111 counting only the distinct ones).

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

Adding to 12120000000000 its reverse (2121), we get a palindrome (12120000002121).

It can be divided in two parts, 12 and 120000000000, that multiplied together give a square (1440000000000 = 12000002).

The spelling of 12120000000000 in words is "twelve trillion, one hundred twenty billion", and thus it is an aban number.