120202120152 has 160 divisors (see below), whose sum is σ = 339997996800. Its totient is φ = 39674188800.

The previous prime is 120202120147. The next prime is 120202120153. The reversal of 120202120152 is 251021202021.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120202120153) by changing a digit.

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 39 ways as a sum of consecutive naturals, for example, 28340752 + ... + 28344992.

It is an arithmetic number, because the mean of its divisors is an integer number (2124987480).

Almost surely, 2^120202120152 is an apocalyptic number.

120202120152 is a gapful number since it is divisible by the number (12) 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 120202120152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169998998400).

120202120152 is an abundant number, since it is smaller than the sum of its proper divisors (219795876648).

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

120202120152 is a wasteful number, since it uses less digits than its factorization.

120202120152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4679 (or 4666 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

Adding to 120202120152 its reverse (251021202021), we get a palindrome (371223322173).

The spelling of 120202120152 in words is "one hundred twenty billion, two hundred two million, one hundred twenty thousand, one hundred fifty-two".