120200214402400 has 576 divisors, whose sum is σ = 347903462128320. Its totient is φ = 40054784000000.

The previous prime is 120200214402379. The next prime is 120200214402407. The reversal of 120200214402400 is 4204412002021.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120200214402407) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3121983150 + ... + 3122021650.

It is an arithmetic number, because the mean of its divisors is an integer number (603999066195).

Almost surely, 2^{120200214402400} is an apocalyptic number.

120200214402400 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 120200214402400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173951731064160).

120200214402400 is an abundant number, since it is smaller than the sum of its proper divisors (227703247725920).

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

120200214402400 is a wasteful number, since it uses less digits than its factorization.

120200214402400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39099 (or 39086 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 22.

Adding to 120200214402400 its reverse (4204412002021), we get a palindrome (124404626404421).

The spelling of 120200214402400 in words is "one hundred twenty trillion, two hundred billion, two hundred fourteen million, four hundred two thousand, four hundred".