123001213200000 has 384 divisors, whose sum is σ = 408725101794240. Its totient is φ = 32772311040000.

The previous prime is 123001213199993. The next prime is 123001213200007. The reversal of 123001213200000 is 2312100321.

It is an interprime number because it is at equal distance from previous prime (123001213199993) and next prime (123001213200007).

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is not an unprimeable number, because it can be changed into a prime (123001213200007) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1424356824 + ... + 1424443176.

Almost surely, 2^{123001213200000} is an apocalyptic number.

123001213200000 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 123001213200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204362550897120).

123001213200000 is an abundant number, since it is smaller than the sum of its proper divisors (285723888594240).

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

123001213200000 is an frugal number, since it uses more digits than its factorization.

123001213200000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87582 (or 87550 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 123001213200000 its reverse (2312100321), we get a palindrome (123003525300321).

The spelling of 123001213200000 in words is "one hundred twenty-three trillion, one billion, two hundred thirteen million, two hundred thousand".