120212112022002 has 384 divisors, whose sum is σ = 377495889039360. Its totient is φ = 26618294545920.

The previous prime is 120212112021997. The next prime is 120212112022091. The reversal of 120212112022002 is 200220211212021.

It is a happy number.

120212112022002 is a `hidden beast` number, since 1 + 202 + 121 + 120 + 220 + 0 + 2 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 7016673 + ... + 17019339.

It is an arithmetic number, because the mean of its divisors is an integer number (983062211040).

Almost surely, 2^{120212112022002} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 120212112022002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188747944519680).

120212112022002 is an abundant number, since it is smaller than the sum of its proper divisors (257283777017358).

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

120212112022002 is a wasteful number, since it uses less digits than its factorization.

120212112022002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10002758 (or 10002755 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 120212112022002 its reverse (200220211212021), we get a palindrome (320432323234023).

The spelling of 120212112022002 in words is "one hundred twenty trillion, two hundred twelve billion, one hundred twelve million, twenty-two thousand, two".