121736100 has 72 divisors (see below), whose sum is σ = 356539680. Its totient is φ = 32065280.

The previous prime is 121736081. The next prime is 121736107. The reversal of 121736100 is 1637121.

It is not an unprimeable number, because it can be changed into a prime (121736107) 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, 22456 + ... + 27344.

It is an arithmetic number, because the mean of its divisors is an integer number (4951940).

Almost surely, 2^121736100 is an apocalyptic number.

121736100 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 121736100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178269840).

121736100 is an abundant number, since it is smaller than the sum of its proper divisors (234803580).

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

121736100 is a wasteful number, since it uses less digits than its factorization.

121736100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4989 (or 4982 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 21.

The square root of 121736100 is about 11033.4083582545. The cubic root of 121736100 is about 495.6096966355.

The spelling of 121736100 in words is "one hundred twenty-one million, seven hundred thirty-six thousand, one hundred".