30120122400000 has 432 divisors, whose sum is σ = 105471633758400. Its totient is φ = 7609282560000.

The previous prime is 30120122399953. The next prime is 30120122400007. The reversal of 30120122400000 is 422102103.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30120122400007) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 45269736 + ... + 45930264.

Almost surely, 2^{30120122400000} is an apocalyptic number.

30120122400000 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30120122400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52735816879200).

30120122400000 is an abundant number, since it is smaller than the sum of its proper divisors (75351511358400).

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

30120122400000 is an frugal number, since it uses more digits than its factorization.

30120122400000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 660592 (or 660558 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

Adding to 30120122400000 its reverse (422102103), we get a palindrome (30120544502103).

The spelling of 30120122400000 in words is "thirty trillion, one hundred twenty billion, one hundred twenty-two million, four hundred thousand".