120111122121120 has 480 divisors, whose sum is σ = 457485515004672. Its totient is φ = 29501938464768.

The previous prime is 120111122121113. The next prime is 120111122121139. The reversal of 120111122121120 is 21121221111021.

It is a happy number.

120111122121120 is a `hidden beast` number, since 1 + 201 + 1 + 11 + 221 + 211 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 120111122121093 and 120111122121102.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 77236359 + ... + 78776121.

Almost surely, 2^{120111122121120} is an apocalyptic number.

120111122121120 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 120111122121120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228742757502336).

120111122121120 is an abundant number, since it is smaller than the sum of its proper divisors (337374392883552).

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

120111122121120 is a wasteful number, since it uses less digits than its factorization.

120111122121120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1540266 (or 1540249 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 18.

Adding to 120111122121120 its reverse (21121221111021), we get a palindrome (141232343232141).

The spelling of 120111122121120 in words is "one hundred twenty trillion, one hundred eleven billion, one hundred twenty-two million, one hundred twenty-one thousand, one hundred twenty".