32100144120220 has 192 divisors, whose sum is σ = 77292094150656. Its totient is φ = 11095817483520.

The previous prime is 32100144120193. The next prime is 32100144120227. The reversal of 32100144120220 is 2202144100123.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 32100144120191 and 32100144120200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32100144120227) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 52301967 + ... + 52912153.

It is an arithmetic number, because the mean of its divisors is an integer number (402562990368).

Almost surely, 2^{32100144120220} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 32100144120220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38646047075328).

32100144120220 is an abundant number, since it is smaller than the sum of its proper divisors (45191950030436).

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

32100144120220 is a wasteful number, since it uses less digits than its factorization.

32100144120220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 610400 (or 610398 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

Adding to 32100144120220 its reverse (2202144100123), we get a palindrome (34302288220343).

The spelling of 32100144120220 in words is "thirty-two trillion, one hundred billion, one hundred forty-four million, one hundred twenty thousand, two hundred twenty".