121279600 has 120 divisors (see below), whose sum is σ = 318698352. Its totient is φ = 44083200.

The previous prime is 121279597. The next prime is 121279601. The reversal of 121279600 is 6972121.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121279601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 431460 + ... + 431740.

Almost surely, 2^121279600 is an apocalyptic number.

121279600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

121279600 is the 8992-nd pentagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 121279600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159349176).

121279600 is an abundant number, since it is smaller than the sum of its proper divisors (197418752).

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

121279600 is a wasteful number, since it uses less digits than its factorization.

121279600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 395 (or 384 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 28.

The square root of 121279600 is about 11012.7017575162. The cubic root of 121279600 is about 494.9894226220.

The spelling of 121279600 in words is "one hundred twenty-one million, two hundred seventy-nine thousand, six hundred".