12100122011000 has 128 divisors (see below), whose sum is σ = 30008401076160. Its totient is φ = 4550999040000.

The previous prime is 12100122010919. The next prime is 12100122011101. The reversal of 12100122011000 is 11022100121.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17528384 + ... + 18205616.

Almost surely, 2^{12100122011000} is an apocalyptic number.

12100122011000 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 12100122011000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15004200538080).

12100122011000 is an abundant number, since it is smaller than the sum of its proper divisors (17908279065160).

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

12100122011000 is a wasteful number, since it uses less digits than its factorization.

12100122011000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 678322 (or 678308 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 12100122011000 its reverse (11022100121), we get a palindrome (12111144111121).

The spelling of 12100122011000 in words is "twelve trillion, one hundred billion, one hundred twenty-two million, eleven thousand".