121024011000 has 128 divisors (see below), whose sum is σ = 377988249600. Its totient is φ = 32239452800.

The previous prime is 121024010963. The next prime is 121024011047. The reversal of 121024011000 is 110420121.

It is a happy number.

It is a super-3 number, since 3×121024011000³ (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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 31 ways as a sum of consecutive naturals, for example, 2928481 + ... + 2969519.

It is an arithmetic number, because the mean of its divisors is an integer number (2953033200).

Almost surely, 2^121024011000 is an apocalyptic number.

121024011000 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 121024011000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188994124800).

121024011000 is an abundant number, since it is smaller than the sum of its proper divisors (256964238600).

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

121024011000 is a wasteful number, since it uses less digits than its factorization.

121024011000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42046 (or 42032 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 121024011000 its reverse (110420121), we get a palindrome (121134431121).

The spelling of 121024011000 in words is "one hundred twenty-one billion, twenty-four million, eleven thousand".