1011020120000 has 280 divisors, whose sum is σ = 2773516090752. Its totient is φ = 362454400000.

The previous prime is 1011020119999. The next prime is 1011020120003. The reversal of 1011020120000 is 210201101.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a self number, because there is not a number n which added to its sum of digits gives 1011020120000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1011020120003) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 31223819 + ... + 31256181.

Almost surely, 2^{1011020120000} is an apocalyptic number.

1011020120000 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 1011020120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1386758045376).

1011020120000 is an abundant number, since it is smaller than the sum of its proper divisors (1762495970752).

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

1011020120000 is an equidigital number, since it uses as much as digits as its factorization.

1011020120000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32477 (or 32452 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 1011020120000 its reverse (210201101), we get a palindrome (1011230321101).

The spelling of 1011020120000 in words is "one trillion, eleven billion, twenty million, one hundred twenty thousand".