120078186017400 has 288 divisors, whose sum is σ = 435828286923120. Its totient is φ = 29452518144000.

The previous prime is 120078186017353. The next prime is 120078186017423. The reversal of 120078186017400 is 4710681870021.

120078186017400 is a `hidden beast` number, since 1 + 20 + 0 + 7 + 8 + 18 + 601 + 7 + 4 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2555466 + ... + 15706265.

Almost surely, 2^{120078186017400} is an apocalyptic number.

120078186017400 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 120078186017400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217914143461560).

120078186017400 is an abundant number, since it is smaller than the sum of its proper divisors (315750100905720).

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

120078186017400 is a wasteful number, since it uses less digits than its factorization.

120078186017400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18262047 (or 18262035 counting only the distinct ones).

The product of its (nonzero) digits is 150528, while the sum is 45.

The spelling of 120078186017400 in words is "one hundred twenty trillion, seventy-eight billion, one hundred eighty-six million, seventeen thousand, four hundred".