120202564114000 has 40 divisors (see below), whose sum is σ = 290649800032488. Its totient is φ = 48081025644800.

The previous prime is 120202564113967. The next prime is 120202564114001. The reversal of 120202564114000 is 411465202021.

120202564114000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 926721976896 + 119275842137104 = 962664^2 + 10921348^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a self number, because there is not a number n which added to its sum of digits gives 120202564114000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120202564114001) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 30050639029 + ... + 30050643028.

Almost surely, 2^{120202564114000} is an apocalyptic number.

120202564114000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

120202564114000 is an abundant number, since it is smaller than the sum of its proper divisors (170447235918488).

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

120202564114000 is an equidigital number, since it uses as much as digits as its factorization.

120202564114000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60101282080 (or 60101282064 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 28.

The spelling of 120202564114000 in words is "one hundred twenty trillion, two hundred two billion, five hundred sixty-four million, one hundred fourteen thousand".