12122136000 has 560 divisors, whose sum is σ = 48328600320. Its totient is φ = 2981836800.

The previous prime is 12122135999. The next prime is 12122136007. The reversal of 12122136000 is 63122121.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12122136007) 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, 8423281 + ... + 8424719.

It is an arithmetic number, because the mean of its divisors is an integer number (86301072).

Almost surely, 2^12122136000 is an apocalyptic number.

12122136000 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 12122136000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24164300160).

12122136000 is an abundant number, since it is smaller than the sum of its proper divisors (36206464320).

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

12122136000 is a wasteful number, since it uses less digits than its factorization.

12122136000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1491 (or 1462 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 12122136000 its reverse (63122121), we get a palindrome (12185258121).

The spelling of 12122136000 in words is "twelve billion, one hundred twenty-two million, one hundred thirty-six thousand".