120011020800 has 240 divisors, whose sum is σ = 432491238432. Its totient is φ = 29093478400.

The previous prime is 120011020777. The next prime is 120011020837. The reversal of 120011020800 is 8020110021.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×120011020800² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 120011020800.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 280342 + ... + 564458.

Almost surely, 2^120011020800 is an apocalyptic number.

120011020800 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 120011020800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216245619216).

120011020800 is an abundant number, since it is smaller than the sum of its proper divisors (312480217632).

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

120011020800 is a wasteful number, since it uses less digits than its factorization.

120011020800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 284159 (or 284138 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 120011020800 its reverse (8020110021), we get a palindrome (128031130821).

The spelling of 120011020800 in words is "one hundred twenty billion, eleven million, twenty thousand, eight hundred".