1000120987800 has 288 divisors, whose sum is σ = 3688356072960. Its totient is φ = 240847200000.

The previous prime is 1000120987787. The next prime is 1000120987837. The reversal of 1000120987800 is 87890210001.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

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, 2822545 + ... + 3157055.

It is an arithmetic number, because the mean of its divisors is an integer number (12806791920).

Almost surely, 2^{1000120987800} is an apocalyptic number.

1000120987800 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 1000120987800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1844178036480).

1000120987800 is an abundant number, since it is smaller than the sum of its proper divisors (2688235085160).

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

1000120987800 is a wasteful number, since it uses less digits than its factorization.

1000120987800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 334695 (or 334683 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 36.

The spelling of 1000120987800 in words is "one trillion, one hundred twenty million, nine hundred eighty-seven thousand, eight hundred".