120110101012000 has 96 divisors (see below), whose sum is σ = 321938747230464. Its totient is φ = 43676400352000.

The previous prime is 120110101011949. The next prime is 120110101012009. The reversal of 120110101012000 is 210101011021.

120110101012000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×120110101012000² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (120110101012009) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1364843512 + ... + 1364931511.

It is an arithmetic number, because the mean of its divisors is an integer number (3353528616984).

Almost surely, 2^{120110101012000} is an apocalyptic number.

120110101012000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

120110101012000 is an abundant number, since it is smaller than the sum of its proper divisors (201828646218464).

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

120110101012000 is a wasteful number, since it uses less digits than its factorization.

120110101012000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2729775059 (or 2729775041 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 120110101012000 its reverse (210101011021), we get a palindrome (120320202023021).

The spelling of 120110101012000 in words is "one hundred twenty trillion, one hundred ten billion, one hundred one million, twelve thousand".