121800672 has 240 divisors, whose sum is σ = 420789600. Its totient is φ = 34546176.

The previous prime is 121800671. The next prime is 121800673. The reversal of 121800672 is 276008121.

It is an interprime number because it is at equal distance from previous prime (121800671) and next prime (121800673).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121800671) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 888988 + ... + 889124.

It is an arithmetic number, because the mean of its divisors is an integer number (1753290).

Almost surely, 2^121800672 is an apocalyptic number.

121800672 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 121800672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210394800).

121800672 is an abundant number, since it is smaller than the sum of its proper divisors (298988928).

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

121800672 is an equidigital number, since it uses as much as digits as its factorization.

121800672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 180 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The square root of 121800672 is about 11036.3341739909. The cubic root of 121800672 is about 495.6973092464.

Adding to 121800672 its reverse (276008121), we get a palindrome (397808793).

The spelling of 121800672 in words is "one hundred twenty-one million, eight hundred thousand, six hundred seventy-two".