120221200202000 has 80 divisors (see below), whose sum is σ = 307794559945392. Its totient is φ = 45259745945600.

The previous prime is 120221200201933. The next prime is 120221200202003. The reversal of 120221200202000 is 202002122021.

It can be written as a sum of positive squares in 8 ways, for example, as 61982995293184 + 58238204908816 = 7872928^2 + 7631396^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (120221200202003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1767924827 + ... + 1767992826.

Almost surely, 2^{120221200202000} is an apocalyptic number.

120221200202000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

120221200202000 is an abundant number, since it is smaller than the sum of its proper divisors (187573359743392).

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

120221200202000 is a wasteful number, since it uses less digits than its factorization.

120221200202000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3535917693 (or 3535917677 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

Adding to 120221200202000 its reverse (202002122021), we get a palindrome (120423202324021).

The spelling of 120221200202000 in words is "one hundred twenty trillion, two hundred twenty-one billion, two hundred million, two hundred two thousand".