32120400030 has 64 divisors (see below), whose sum is σ = 81312249600. Its totient is φ = 8098030080.

The previous prime is 32120400017. The next prime is 32120400041. The reversal of 32120400030 is 3000402123.

It is a super-4 number, since 4×32120400030⁴ (a number of 43 digits) contains 4444 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 32120399982 and 32120400009.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 222486 + ... + 337254.

It is an arithmetic number, because the mean of its divisors is an integer number (1270503900).

Almost surely, 2^32120400030 is an apocalyptic number.

32120400030 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 32120400030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40656124800).

32120400030 is an abundant number, since it is smaller than the sum of its proper divisors (49191849570).

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

32120400030 is a wasteful number, since it uses less digits than its factorization.

32120400030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115289.

The product of its (nonzero) digits is 144, while the sum is 15.

Adding to 32120400030 its reverse (3000402123), we get a palindrome (35120802153).

The spelling of 32120400030 in words is "thirty-two billion, one hundred twenty million, four hundred thousand, thirty".