123212131200000 has 1584 divisors, whose sum is σ = 467500400246880. Its totient is φ = 31213486080000.

The previous prime is 123212131199981. The next prime is 123212131200023. The reversal of 123212131200000 is 2131212321.

123212131200000 is a `hidden beast` number, since 1 + 232 + 121 + 312 + 0 + 0 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 45820798656 + ... + 45820801344.

It is an arithmetic number, because the mean of its divisors is an integer number (295139141570).

Almost surely, 2^{123212131200000} is an apocalyptic number.

123212131200000 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 123212131200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233750200123440).

123212131200000 is an abundant number, since it is smaller than the sum of its proper divisors (344288269046880).

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

123212131200000 is an equidigital number, since it uses as much as digits as its factorization.

123212131200000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2820 (or 2779 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 123212131200000 its reverse (2131212321), we get a palindrome (123214262412321).

The spelling of 123212131200000 in words is "one hundred twenty-three trillion, two hundred twelve billion, one hundred thirty-one million, two hundred thousand".