121111112122000 has 1920 divisors, whose sum is σ = 423761151550464. Its totient is φ = 32460595200000.

The previous prime is 121111112121971. The next prime is 121111112122009. The reversal of 121111112122000 is 221211111121.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (121111112122009) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 37811772399 + ... + 37811775601.

Almost surely, 2^{121111112122000} is an apocalyptic number.

121111112122000 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 121111112122000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211880575775232).

121111112122000 is an abundant number, since it is smaller than the sum of its proper divisors (302650039428464).

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

121111112122000 is a wasteful number, since it uses less digits than its factorization.

121111112122000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3386 (or 3359 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 16.

Adding to 121111112122000 its reverse (221211111121), we get a palindrome (121332323233121).

The spelling of 121111112122000 in words is "one hundred twenty-one trillion, one hundred eleven billion, one hundred twelve million, one hundred twenty-two thousand".