120022003101000 has 1536 divisors, whose sum is σ = 515186716262400. Its totient is φ = 22630646016000.

The previous prime is 120022003100977. The next prime is 120022003101047. The reversal of 120022003101000 is 101300220021.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 1948916209 + ... + 1948977791.

It is an arithmetic number, because the mean of its divisors is an integer number (335408018400).

Almost surely, 2^{120022003101000} is an apocalyptic number.

120022003101000 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 120022003101000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (257593358131200).

120022003101000 is an abundant number, since it is smaller than the sum of its proper divisors (395164713161400).

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

120022003101000 is a wasteful number, since it uses less digits than its factorization.

120022003101000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61708 (or 61683 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 120022003101000 its reverse (101300220021), we get a palindrome (120123303321021).

It can be divided in two parts, 12002 and 2003101000, that added together give a palindrome (2003113002).

The spelling of 120022003101000 in words is "one hundred twenty trillion, twenty-two billion, three million, one hundred one thousand".