121212000 has 576 divisors, whose sum is σ = 543763584. Its totient is φ = 24883200.

The previous prime is 121211999. The next prime is 121212017. The reversal of 121212000 is 212121.

It is a Harshad number since it is a multiple of its sum of digits (9).

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

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3275982 + ... + 3276018.

It is an arithmetic number, because the mean of its divisors is an integer number (944034).

Almost surely, 2^121212000 is an apocalyptic number.

121212000 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 121212000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (271881792).

121212000 is an abundant number, since it is smaller than the sum of its proper divisors (422551584).

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

121212000 is a wasteful number, since it uses less digits than its factorization.

121212000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88 (or 67 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

The square root of 121212000 is about 11009.6321464434. The cubic root of 121212000 is about 494.8974381940.

Adding to 121212000 its reverse (212121), we get a palindrome (121424121).

The spelling of 121212000 in words is "one hundred twenty-one million, two hundred twelve thousand".