120100011021120 has 448 divisors, whose sum is σ = 415560183010560. Its totient is φ = 29210040532992.

The previous prime is 120100011021059. The next prime is 120100011021127. The reversal of 120100011021120 is 21120110001021.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 120100011021096 and 120100011021105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120100011021127) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1584959554 + ... + 1585035326.

It is an arithmetic number, because the mean of its divisors is an integer number (927589694220).

Almost surely, 2^{120100011021120} is an apocalyptic number.

120100011021120 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 120100011021120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207780091505280).

120100011021120 is an abundant number, since it is smaller than the sum of its proper divisors (295460171989440).

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

120100011021120 is a wasteful number, since it uses less digits than its factorization.

120100011021120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77322 (or 77312 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 120100011021120 its reverse (21120110001021), we get a palindrome (141220121022141).

The spelling of 120100011021120 in words is "one hundred twenty trillion, one hundred billion, eleven million, twenty-one thousand, one hundred twenty".