10120012020000 has 720 divisors, whose sum is σ = 37505463035040. Its totient is φ = 2683362816000.

The previous prime is 10120012019969. The next prime is 10120012020031. The reversal of 10120012020000 is 2021002101.

It is an interprime number because it is at equal distance from previous prime (10120012019969) and next prime (10120012020031).

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 869934184 + ... + 869945816.

It is an arithmetic number, because the mean of its divisors is an integer number (52090920882).

Almost surely, 2^{10120012020000} is an apocalyptic number.

10120012020000 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 10120012020000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18752731517520).

10120012020000 is an abundant number, since it is smaller than the sum of its proper divisors (27385451015040).

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

10120012020000 is an equidigital number, since it uses as much as digits as its factorization.

10120012020000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11857 (or 11822 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 10120012020000 its reverse (2021002101), we get a palindrome (10122033022101).

The spelling of 10120012020000 in words is "ten trillion, one hundred twenty billion, twelve million, twenty thousand".