123040441152000 has 480 divisors, whose sum is σ = 459582308849664. Its totient is φ = 32810780160000.

The previous prime is 123040441151981. The next prime is 123040441152019. The reversal of 123040441152000 is 251144040321.

123040441152000 is a `hidden beast` number, since 1 + 2 + 3 + 0 + 4 + 0 + 441 + 15 + 200 + 0 = 666.

123040441152000 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (123040441151981) and next prime (123040441152019).

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11596225 + ... + 19507775.

Almost surely, 2^{123040441152000} is an apocalyptic number.

123040441152000 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 123040441152000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229791154424832).

123040441152000 is an abundant number, since it is smaller than the sum of its proper divisors (336541867697664).

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

123040441152000 is an frugal number, since it uses more digits than its factorization.

123040441152000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7911599 (or 7911561 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

Adding to 123040441152000 its reverse (251144040321), we get a palindrome (123291585192321).

The spelling of 123040441152000 in words is "one hundred twenty-three trillion, forty billion, four hundred forty-one million, one hundred fifty-two thousand".