121612736 has 56 divisors (see below), whose sum is σ = 276941280. Its totient is φ = 51904512.

The previous prime is 121612723. The next prime is 121612739. The reversal of 121612736 is 637216121.

It is a tau number, because it is divible by the number of its divisors (56).

It is a junction number, because it is equal to n+sod(n) for n = 121612699 and 121612708.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121612739) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 157760 + ... + 158528.

It is an arithmetic number, because the mean of its divisors is an integer number (4945380).

Almost surely, 2^121612736 is an apocalyptic number.

121612736 is a gapful number since it is divisible by the number (16) 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 121612736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138470640).

121612736 is an abundant number, since it is smaller than the sum of its proper divisors (155328544).

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

121612736 is an equidigital number, since it uses as much as digits as its factorization.

121612736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1141 (or 1131 counting only the distinct ones).

The product of its digits is 3024, while the sum is 29.

The square root of 121612736 is about 11027.8164656472. The cubic root of 121612736 is about 495.4422276625.

Adding to 121612736 its reverse (637216121), we get a palindrome (758828857).

The spelling of 121612736 in words is "one hundred twenty-one million, six hundred twelve thousand, seven hundred thirty-six".