120112202202000 has 160 divisors (see below), whose sum is σ = 387247432316160. Its totient is φ = 32029449753600.

The previous prime is 120112202201983. The next prime is 120112202202101. The reversal of 120112202202000 is 202202211021.

120112202202000 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 2×120112202202000² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 640460244 + ... + 640647756.

It is an arithmetic number, because the mean of its divisors is an integer number (2420296451976).

Almost surely, 2^{120112202202000} is an apocalyptic number.

120112202202000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

120112202202000 is an abundant number, since it is smaller than the sum of its proper divisors (267135230114160).

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

120112202202000 is a wasteful number, since it uses less digits than its factorization.

120112202202000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 294298 (or 294282 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 120112202202000 its reverse (202202211021), we get a palindrome (120314404413021).

The spelling of 120112202202000 in words is "one hundred twenty trillion, one hundred twelve billion, two hundred two million, two hundred two thousand".