121266000 has 120 divisors (see below), whose sum is σ = 423604584. Its totient is φ = 32332800.

The previous prime is 121265993. The next prime is 121266001. The reversal of 121266000 is 662121.

It is a happy number.

121266000 is a `hidden beast` number, since 1 + 2 + 1 + 2 + 660 + 0 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 5143824 + 116122176 = 2268^2 + 10776^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121266001) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14632 + ... + 21368.

Almost surely, 2^121266000 is an apocalyptic number.

121266000 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 121266000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211802292).

121266000 is an abundant number, since it is smaller than the sum of its proper divisors (302338584).

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

121266000 is a wasteful number, since it uses less digits than its factorization.

121266000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6766 (or 6747 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 121266000 is about 11012.0842713811. The cubic root of 121266000 is about 494.9709196262.

The spelling of 121266000 in words is "one hundred twenty-one million, two hundred sixty-six thousand".