10122001120000 has 720 divisors, whose sum is σ = 31691682215424. Its totient is φ = 3133440000000.

The previous prime is 10122001119959. The next prime is 10122001120001. The reversal of 10122001120000 is 2110022101.

It is a super-3 number, since 3×10122001120000³ (a number of 40 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (10122001120001) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1860317280 + ... + 1860322720.

Almost surely, 2^{10122001120000} is an apocalyptic number.

10122001120000 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 10122001120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15845841107712).

10122001120000 is an abundant number, since it is smaller than the sum of its proper divisors (21569681095424).

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

10122001120000 is an equidigital number, since it uses as much as digits as its factorization.

10122001120000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5646 (or 5617 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 10122001120000 its reverse (2110022101), we get a palindrome (10124111142101).

The spelling of 10122001120000 in words is "ten trillion, one hundred twenty-two billion, one million, one hundred twenty thousand".