121212672 has 108 divisors (see below), whose sum is σ = 375388776. Its totient is φ = 34621440.

The previous prime is 121212659. The next prime is 121212701. The reversal of 121212672 is 276212121.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 36022 + ... + 39242.

It is an arithmetic number, because the mean of its divisors is an integer number (3475822).

Almost surely, 2^121212672 is an apocalyptic number.

121212672 is a gapful number since it is divisible by the number (12) 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 121212672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187694388).

121212672 is an abundant number, since it is smaller than the sum of its proper divisors (254176104).

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

121212672 is an equidigital number, since it uses as much as digits as its factorization.

121212672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3254 (or 3233 counting only the distinct ones).

The product of its digits is 672, while the sum is 24.

The square root of 121212672 is about 11009.6626651319. The cubic root of 121212672 is about 494.8983527637.

Adding to 121212672 its reverse (276212121), we get a palindrome (397424793).

The spelling of 121212672 in words is "one hundred twenty-one million, two hundred twelve thousand, six hundred seventy-two".