121111122111000 has 512 divisors, whose sum is σ = 436554665164800. Its totient is φ = 27381445977600.

The previous prime is 121111122110989. The next prime is 121111122111017. The reversal of 121111122111000 is 111221111121.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1857984409 + ... + 1858049591.

It is an arithmetic number, because the mean of its divisors is an integer number (852645830400).

Almost surely, 2^{121111122111000} is an apocalyptic number.

121111122111000 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 121111122111000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218277332582400).

121111122111000 is an abundant number, since it is smaller than the sum of its proper divisors (315443543053800).

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

121111122111000 is a wasteful number, since it uses less digits than its factorization.

121111122111000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66176 (or 66162 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 15.

Adding to 121111122111000 its reverse (111221111121), we get a palindrome (121222343222121).

The spelling of 121111122111000 in words is "one hundred twenty-one trillion, one hundred eleven billion, one hundred twenty-two million, one hundred eleven thousand".