121123011000 has 256 divisors, whose sum is σ = 400856376960. Its totient is φ = 30344601600.

The previous prime is 121123010927. The next prime is 121123011011. The reversal of 121123011000 is 110321121.

It is a super-2 number, since 2×121123011000² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 33301182 + ... + 33304818.

Almost surely, 2^121123011000 is an apocalyptic number.

121123011000 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 121123011000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200428188480).

121123011000 is an abundant number, since it is smaller than the sum of its proper divisors (279733365960).

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

121123011000 is a wasteful number, since it uses less digits than its factorization.

121123011000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4331 (or 4317 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 12.

Adding to 121123011000 its reverse (110321121), we get a palindrome (121233332121).

The spelling of 121123011000 in words is "one hundred twenty-one billion, one hundred twenty-three million, eleven thousand".