120201211020000 has 480 divisors, whose sum is σ = 444003186299904. Its totient is φ = 28199692800000.

The previous prime is 120201211019983. The next prime is 120201211020083. The reversal of 120201211020000 is 20112102021.

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-2 number, since 2×120201211020000² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 17522532 + ... + 23397468.

Almost surely, 2^{120201211020000} is an apocalyptic number.

120201211020000 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 120201211020000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222001593149952).

120201211020000 is an abundant number, since it is smaller than the sum of its proper divisors (323801975279904).

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

120201211020000 is a wasteful number, since it uses less digits than its factorization.

120201211020000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5875012 (or 5874989 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 120201211020000 its reverse (20112102021), we get a palindrome (120221323122021).

The spelling of 120201211020000 in words is "one hundred twenty trillion, two hundred one billion, two hundred eleven million, twenty thousand".