121011011000 has 192 divisors, whose sum is σ = 321298548480. Its totient is φ = 42583200000.

The previous prime is 121011010973. The next prime is 121011011003. The reversal of 121011011000 is 110110121.

It is a happy number.

121011011000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121011011003) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3734870 + ... + 3767130.

It is an arithmetic number, because the mean of its divisors is an integer number (1673429940).

Almost surely, 2^121011011000 is an apocalyptic number.

121011011000 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 121011011000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160649274240).

121011011000 is an abundant number, since it is smaller than the sum of its proper divisors (200287537480).

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

121011011000 is a wasteful number, since it uses less digits than its factorization.

121011011000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32335 (or 32310 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 8.

Adding to 121011011000 its reverse (110110121), we get a palindrome (121121121121).

The spelling of 121011011000 in words is "one hundred twenty-one billion, eleven million, eleven thousand".