120011010000 has 400 divisors, whose sum is σ = 462024904704. Its totient is φ = 26237376000.

The previous prime is 120011009957. The next prime is 120011010037. The reversal of 120011010000 is 10110021.

It is a tau number, because it is divible by the number of its divisors (400).

It is a super-4 number, since 4×120011010000⁴ (a number of 45 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 4817577 + ... + 4842423.

Almost surely, 2^120011010000 is an apocalyptic number.

120011010000 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 120011010000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231012452352).

120011010000 is an abundant number, since it is smaller than the sum of its proper divisors (342013894704).

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

120011010000 is a wasteful number, since it uses less digits than its factorization.

120011010000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24908 (or 24887 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 6.

Adding to 120011010000 its reverse (10110021), we get a palindrome (120021120021).

The spelling of 120011010000 in words is "one hundred twenty billion, eleven million, ten thousand".