120212101002000 has 320 divisors, whose sum is σ = 443212976553984. Its totient is φ = 27459501811200.

The previous prime is 120212101001999. The next prime is 120212101002001. The reversal of 120212101002000 is 200101212021.

It is an interprime number because it is at equal distance from previous prime (120212101001999) and next prime (120212101002001).

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

It is not an unprimeable number, because it can be changed into a prime (120212101002001) 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, 64900729 + ... + 66727271.

Almost surely, 2^{120212101002000} is an apocalyptic number.

120212101002000 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 120212101002000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221606488276992).

120212101002000 is an abundant number, since it is smaller than the sum of its proper divisors (323000875551984).

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

120212101002000 is a wasteful number, since it uses less digits than its factorization.

120212101002000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1828143 (or 1828127 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 120212101002000 its reverse (200101212021), we get a palindrome (120412202214021).

The spelling of 120212101002000 in words is "one hundred twenty trillion, two hundred twelve billion, one hundred one million, two thousand".