120123012444400 has 120 divisors (see below), whose sum is σ = 329933472192000. Its totient is φ = 41171297038080.

The previous prime is 120123012444373. The next prime is 120123012444509. The reversal of 120123012444400 is 4444210321021.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1244637 + ... + 15549763.

It is an arithmetic number, because the mean of its divisors is an integer number (2749445601600).

Almost surely, 2^{120123012444400} is an apocalyptic number.

120123012444400 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 120123012444400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164966736096000).

120123012444400 is an abundant number, since it is smaller than the sum of its proper divisors (209810459747600).

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

120123012444400 is a wasteful number, since it uses less digits than its factorization.

120123012444400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14308151 (or 14308140 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 28.

Adding to 120123012444400 its reverse (4444210321021), we get a palindrome (124567222765421).

The spelling of 120123012444400 in words is "one hundred twenty trillion, one hundred twenty-three billion, twelve million, four hundred forty-four thousand, four hundred".