120120144211100 has 216 divisors, whose sum is σ = 301694817462528. Its totient is φ = 41157310550400.

The previous prime is 120120144211063. The next prime is 120120144211117. The reversal of 120120144211100 is 1112441021021.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 37446797 + ... + 40527803.

Almost surely, 2^{120120144211100} is an apocalyptic number.

120120144211100 is a gapful number since it is divisible by the number (10) 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 120120144211100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150847408731264).

120120144211100 is an abundant number, since it is smaller than the sum of its proper divisors (181574673251428).

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

120120144211100 is a wasteful number, since it uses less digits than its factorization.

120120144211100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3081145 (or 3081115 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 20.

Adding to 120120144211100 its reverse (1112441021021), we get a palindrome (121232585232121).

The spelling of 120120144211100 in words is "one hundred twenty trillion, one hundred twenty billion, one hundred forty-four million, two hundred eleven thousand, one hundred".