120220102002000 has 5120 divisors, whose sum is σ = 572750413627392. Its totient is φ = 21035925504000.

The previous prime is 120220102001999. The next prime is 120220102002019. The reversal of 120220102002000 is 200201022021.

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 1023 ways as a sum of consecutive naturals, for example, 457110653869 + ... + 457110654131.

Almost surely, 2^{120220102002000} is an apocalyptic number.

120220102002000 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 120220102002000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (286375206813696).

120220102002000 is an abundant number, since it is smaller than the sum of its proper divisors (452530311625392).

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

120220102002000 is a wasteful number, since it uses less digits than its factorization.

120220102002000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 396 (or 358 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 120220102002000 its reverse (200201022021), we get a palindrome (120420303024021).

The spelling of 120220102002000 in words is "one hundred twenty trillion, two hundred twenty billion, one hundred two million, two thousand".