120550214400 has 864 divisors, whose sum is σ = 503254123008. Its totient is φ = 24684134400.

The previous prime is 120550214333. The next prime is 120550214423. The reversal of 120550214400 is 4412055021.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 107922642 + ... + 107923758.

Almost surely, 2^120550214400 is an apocalyptic number.

120550214400 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 120550214400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (251627061504).

120550214400 is an abundant number, since it is smaller than the sum of its proper divisors (382703908608).

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

120550214400 is a wasteful number, since it uses less digits than its factorization.

120550214400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1237 (or 1218 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 24.

Adding to 120550214400 its reverse (4412055021), we get a palindrome (124962269421).

The spelling of 120550214400 in words is "one hundred twenty billion, five hundred fifty million, two hundred fourteen thousand, four hundred".