32120010301120 has 448 divisors, whose sum is σ = 90148191860736. Its totient is φ = 10674269061120.

The previous prime is 32120010301087. The next prime is 32120010301133. The reversal of 32120010301120 is 2110301002123.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 32120010301094 and 32120010301103.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2821746949 + ... + 2821758331.

Almost surely, 2^{32120010301120} 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 32120010301120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45074095930368).

32120010301120 is an abundant number, since it is smaller than the sum of its proper divisors (58028181559616).

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

32120010301120 is a wasteful number, since it uses less digits than its factorization.

32120010301120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11768 (or 11758 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 32120010301120 its reverse (2110301002123), we get a palindrome (34230311303243).

The spelling of 32120010301120 in words is "thirty-two trillion, one hundred twenty billion, ten million, three hundred one thousand, one hundred twenty".