120011212013000 has 256 divisors, whose sum is σ = 350472420380160. Its totient is φ = 37368549504000.

The previous prime is 120011212012987. The next prime is 120011212013023. The reversal of 120011212013000 is 310212110021.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 75987362 + ... + 77550638.

It is an arithmetic number, because the mean of its divisors is an integer number (1369032892110).

Almost surely, 2^{120011212013000} is an apocalyptic number.

120011212013000 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 120011212013000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175236210190080).

120011212013000 is an abundant number, since it is smaller than the sum of its proper divisors (230461208367160).

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

120011212013000 is a wasteful number, since it uses less digits than its factorization.

120011212013000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1564313 (or 1564299 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 14.

Adding to 120011212013000 its reverse (310212110021), we get a palindrome (120321424123021).

The spelling of 120011212013000 in words is "one hundred twenty trillion, eleven billion, two hundred twelve million, thirteen thousand".