1020120021200 has 240 divisors, whose sum is σ = 2924317403136. Its totient is φ = 334368038400.

The previous prime is 1020120021199. The next prime is 1020120021247. The reversal of 1020120021200 is 21200210201.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 174585479 + ... + 174591321.

Almost surely, 2^{1020120021200} is an apocalyptic number.

1020120021200 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 1020120021200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1462158701568).

1020120021200 is an abundant number, since it is smaller than the sum of its proper divisors (1904197381936).

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

1020120021200 is a wasteful number, since it uses less digits than its factorization.

1020120021200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8602 (or 8591 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 1020120021200 its reverse (21200210201), we get a palindrome (1041320231401).

The spelling of 1020120021200 in words is "one trillion, twenty billion, one hundred twenty million, twenty-one thousand, two hundred".