12122110770000 has 1600 divisors, whose sum is σ = 51750954393600. Its totient is φ = 2367947520000.

The previous prime is 12122110769969. The next prime is 12122110770001. The reversal of 12122110770000 is 7701122121.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12122110770001) by changing a digit.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 6100709007 + ... + 6100710993.

It is an arithmetic number, because the mean of its divisors is an integer number (32344346496).

Almost surely, 2^{12122110770000} is an apocalyptic number.

12122110770000 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 12122110770000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25875477196800).

12122110770000 is an abundant number, since it is smaller than the sum of its proper divisors (39628843623600).

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

12122110770000 is a wasteful number, since it uses less digits than its factorization.

12122110770000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2194 (or 2173 counting only the distinct ones).

The product of its (nonzero) digits is 392, while the sum is 24.

Adding to 12122110770000 its reverse (7701122121), we get a palindrome (12129811892121).

The spelling of 12122110770000 in words is "twelve trillion, one hundred twenty-two billion, one hundred ten million, seven hundred seventy thousand".