120202011202000 has 640 divisors, whose sum is σ = 370526984755200. Its totient is φ = 36683458560000.

The previous prime is 120202011201973. The next prime is 120202011202019. The reversal of 120202011202000 is 202110202021.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 4269887925 + ... + 4269916075.

It is an arithmetic number, because the mean of its divisors is an integer number (578948413680).

Almost surely, 2^{120202011202000} is an apocalyptic number.

120202011202000 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 120202011202000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185263492377600).

120202011202000 is an abundant number, since it is smaller than the sum of its proper divisors (250324973553200).

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

120202011202000 is a wasteful number, since it uses less digits than its factorization.

120202011202000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29032 (or 29016 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 120202011202000 its reverse (202110202021), we get a palindrome (120404121404021).

The spelling of 120202011202000 in words is "one hundred twenty trillion, two hundred two billion, eleven million, two hundred two thousand".