120022011000020 has 96 divisors (see below), whose sum is σ = 262452061576320. Its totient is φ = 46067939688960.

The previous prime is 120022010999993. The next prime is 120022011000029. The reversal of 120022011000020 is 20000110220021.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 120022010999965 and 120022011000010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120022011000029) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 42109439 + ... + 44869241.

It is an arithmetic number, because the mean of its divisors is an integer number (2733875641420).

Almost surely, 2^{120022011000020} is an apocalyptic number.

120022011000020 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 120022011000020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131226030788160).

120022011000020 is an abundant number, since it is smaller than the sum of its proper divisors (142430050576300).

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

120022011000020 is a wasteful number, since it uses less digits than its factorization.

120022011000020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2760745 (or 2760743 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 120022011000020 its reverse (20000110220021), we get a palindrome (140022121220041).

The spelling of 120022011000020 in words is "one hundred twenty trillion, twenty-two billion, eleven million, twenty", and thus it is an aban number.