121071600 has 270 divisors, whose sum is σ = 457243800. Its totient is φ = 29652480.

The previous prime is 121071593. The next prime is 121071619. The reversal of 121071600 is 6170121.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 608301 + ... + 608499.

Almost surely, 2^121071600 is an apocalyptic number.

121071600 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 121071600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228621900).

121071600 is an abundant number, since it is smaller than the sum of its proper divisors (336172200).

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

121071600 is a wasteful number, since it uses less digits than its factorization.

121071600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 249 (or 222 counting only the distinct ones).

The product of its (nonzero) digits is 84, while the sum is 18.

The square root of 121071600 is about 11003.2540641394. The cubic root of 121071600 is about 494.7062842785.

The spelling of 121071600 in words is "one hundred twenty-one million, seventy-one thousand, six hundred".