120418099200 has 1680 divisors, whose sum is σ = 548649107424. Its totient is φ = 25480396800.

The previous prime is 120418099189. The next prime is 120418099201. The reversal of 120418099200 is 2990814021.

It is a tau number, because it is divible by the number of its divisors (1680).

It is a super-2 number, since 2×120418099200² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120418099201) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 1974067170 + ... + 1974067230.

Almost surely, 2^120418099200 is an apocalyptic number.

120418099200 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 120418099200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (274324553712).

120418099200 is an abundant number, since it is smaller than the sum of its proper divisors (428231008224).

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

120418099200 is an equidigital number, since it uses as much as digits as its factorization.

120418099200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The spelling of 120418099200 in words is "one hundred twenty billion, four hundred eighteen million, ninety-nine thousand, two hundred".