10111122120000 has 1120 divisors, whose sum is σ = 37149895728000. Its totient is φ = 2405888000000.

The previous prime is 10111122119993. The next prime is 10111122120019. The reversal of 10111122120000 is 2122111101.

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 159 ways as a sum of consecutive naturals, for example, 19864679746 + ... + 19864680254.

Almost surely, 2^{10111122120000} is an apocalyptic number.

10111122120000 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 10111122120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18574947864000).

10111122120000 is an abundant number, since it is smaller than the sum of its proper divisors (27038773608000).

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

10111122120000 is a wasteful number, since it uses less digits than its factorization.

10111122120000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 805 (or 780 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 10111122120000 its reverse (2122111101), we get a palindrome (10113244231101).

It can be divided in two parts, 101111 and 22120000, that added together give a triangular number (22221111 = T₆₆₆₆).

The spelling of 10111122120000 in words is "ten trillion, one hundred eleven billion, one hundred twenty-two million, one hundred twenty thousand".