120202002000 has 640 divisors, whose sum is σ = 475825259520. Its totient is φ = 28851609600.

The previous prime is 120202001999. The next prime is 120202002001. The reversal of 120202002000 is 200202021.

It is an interprime number because it is at equal distance from previous prime (120202001999) and next prime (120202002001).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120202002001) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 21111154 + ... + 21116846.

It is an arithmetic number, because the mean of its divisors is an integer number (743476968).

Almost surely, 2^120202002000 is an apocalyptic number.

120202002000 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 120202002000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237912629760).

120202002000 is an abundant number, since it is smaller than the sum of its proper divisors (355623257520).

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

120202002000 is a wasteful number, since it uses less digits than its factorization.

120202002000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5765 (or 5743 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 9.

Adding to 120202002000 its reverse (200202021), we get a palindrome (120402204021).

The spelling of 120202002000 in words is "one hundred twenty billion, two hundred two million, two thousand".