1200117318400 has 1728 divisors, whose sum is σ = 4213436322816. Its totient is φ = 326467584000.

The previous prime is 1200117318359. The next prime is 1200117318473. The reversal of 1200117318400 is 48137110021.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 14459244759 + ... + 14459244841.

Almost surely, 2^{1200117318400} is an apocalyptic number.

1200117318400 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 1200117318400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2106718161408).

1200117318400 is an abundant number, since it is smaller than the sum of its proper divisors (3013319004416).

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

1200117318400 is a wasteful number, since it uses less digits than its factorization.

1200117318400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 238 (or 219 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 28.

The spelling of 1200117318400 in words is "one trillion, two hundred billion, one hundred seventeen million, three hundred eighteen thousand, four hundred".