32011300120020 has 384 divisors, whose sum is σ = 98019016704000. Its totient is φ = 7759016552448.

The previous prime is 32011300119973. The next prime is 32011300120031. The reversal of 32011300120020 is 2002100311023.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 7847828341 + ... + 7847832419.

It is an arithmetic number, because the mean of its divisors is an integer number (255257856000).

Almost surely, 2^{32011300120020} is an apocalyptic number.

32011300120020 is a gapful number since it is divisible by the number (30) 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 32011300120020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49009508352000).

32011300120020 is an abundant number, since it is smaller than the sum of its proper divisors (66007716583980).

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

32011300120020 is a wasteful number, since it uses less digits than its factorization.

32011300120020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4807 (or 4805 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 32011300120020 its reverse (2002100311023), we get a palindrome (34013400431043).

The spelling of 32011300120020 in words is "thirty-two trillion, eleven billion, three hundred million, one hundred twenty thousand, twenty".