120412312400 has 180 divisors, whose sum is σ = 307912599252. Its totient is φ = 45242695680.

The previous prime is 120412312369. The next prime is 120412312411. The reversal of 120412312400 is 4213214021.

It can be written as a sum of positive squares in 18 ways, for example, as 13517317696 + 106894994704 = 116264^2 + 326948^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 110166254 + ... + 110167346.

Almost surely, 2^120412312400 is an apocalyptic number.

120412312400 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 120412312400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153956299626).

120412312400 is an abundant number, since it is smaller than the sum of its proper divisors (187500286852).

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

120412312400 is a wasteful number, since it uses less digits than its factorization.

120412312400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2098 (or 2070 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 120412312400 its reverse (4213214021), we get a palindrome (124625526421).

The spelling of 120412312400 in words is "one hundred twenty billion, four hundred twelve million, three hundred twelve thousand, four hundred".