30620424012320 has 192 divisors, whose sum is σ = 76872706495200. Its totient is φ = 11503975956480.

The previous prime is 30620424012263. The next prime is 30620424012329. The reversal of 30620424012320 is 2321042402603.

It is a happy number.

It can be written as a sum of positive squares in 16 ways, for example, as 20064916854544 + 10555507157776 = 4479388^2 + 3248924^2 .

It is a super-2 number, since 2×30620424012320² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is not an unprimeable number, because it can be changed into a prime (30620424012329) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1086548630 + ... + 1086576810.

Almost surely, 2^{30620424012320} 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 30620424012320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38436353247600).

30620424012320 is an abundant number, since it is smaller than the sum of its proper divisors (46252282482880).

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

30620424012320 is a wasteful number, since it uses less digits than its factorization.

30620424012320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34591 (or 34583 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 29.

Adding to 30620424012320 its reverse (2321042402603), we get a palindrome (32941466414923).

The spelling of 30620424012320 in words is "thirty trillion, six hundred twenty billion, four hundred twenty-four million, twelve thousand, three hundred twenty".