120121416030 has 256 divisors, whose sum is σ = 371954073600. Its totient is φ = 24607094400.

The previous prime is 120121416017. The next prime is 120121416047. The reversal of 120121416030 is 30614121021.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 120121415988 and 120121416006.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 8029017 + ... + 8043963.

It is an arithmetic number, because the mean of its divisors is an integer number (1452945600).

Almost surely, 2^120121416030 is an apocalyptic number.

120121416030 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 120121416030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185977036800).

120121416030 is an abundant number, since it is smaller than the sum of its proper divisors (251832657570).

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

120121416030 is a wasteful number, since it uses less digits than its factorization.

120121416030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15060 (or 15046 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

Adding to 120121416030 its reverse (30614121021), we get a palindrome (150735537051).

The spelling of 120121416030 in words is "one hundred twenty billion, one hundred twenty-one million, four hundred sixteen thousand, thirty".