121011000 has 256 divisors, whose sum is σ = 435801600. Its totient is φ = 27648000.

The previous prime is 121010999. The next prime is 121011013. The reversal of 121011000 is 110121.

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a self number, because there is not a number n which added to its sum of digits gives 121011000.

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, 626904 + ... + 627096.

It is an arithmetic number, because the mean of its divisors is an integer number (1702350).

Almost surely, 2^121011000 is an apocalyptic number.

121011000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a pronic number, being equal to 11000×11001.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 121011000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217900800).

121011000 is an abundant number, since it is smaller than the sum of its proper divisors (314790600).

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

121011000 is a wasteful number, since it uses less digits than its factorization.

121011000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 247 (or 233 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 6.

The square root of 121011000 is about 11000.4999886369. The cubic root of 121011000 is about 494.6237320145.

Adding to 121011000 its reverse (110121), we get a palindrome (121121121).

The spelling of 121011000 in words is "one hundred twenty-one million, eleven thousand".