32142001211320 has 768 divisors, whose sum is σ = 102906246528000. Its totient is φ = 8749530316800.

The previous prime is 32142001211303. The next prime is 32142001211357. The reversal of 32142001211320 is 2311210024123.

It is a super-2 number, since 2×32142001211320² (a number of 28 digits) contains 22 as substring.

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 = 32142001211291 and 32142001211300.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 9978887310 + ... + 9978890530.

It is an arithmetic number, because the mean of its divisors is an integer number (133992508500).

Almost surely, 2^{32142001211320} 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 32142001211320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51453123264000).

32142001211320 is an abundant number, since it is smaller than the sum of its proper divisors (70764245316680).

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

32142001211320 is a wasteful number, since it uses less digits than its factorization.

32142001211320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4304 (or 4287 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

Adding to 32142001211320 its reverse (2311210024123), we get a palindrome (34453211235443).

The spelling of 32142001211320 in words is "thirty-two trillion, one hundred forty-two billion, one million, two hundred eleven thousand, three hundred twenty".