121066400 has 144 divisors (see below), whose sum is σ = 363976704. Its totient is φ = 38292480.

The previous prime is 121066397. The next prime is 121066403. The reversal of 121066400 is 4660121.

121066400 = 280² + 281² + ... + 727².

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (121066397) and next prime (121066403).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (121066403) 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, 71969 + ... + 73631.

It is an arithmetic number, because the mean of its divisors is an integer number (2527616).

Almost surely, 2^121066400 is an apocalyptic number.

121066400 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 121066400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181988352).

121066400 is an abundant number, since it is smaller than the sum of its proper divisors (242910304).

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

121066400 is a wasteful number, since it uses less digits than its factorization.

121066400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1703 (or 1690 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

The square root of 121066400 is about 11003.0177678671. The cubic root of 121066400 is about 494.6992016664.

The spelling of 121066400 in words is "one hundred twenty-one million, sixty-six thousand, four hundred".