121301200 has 60 divisors (see below), whose sum is σ = 301504140. Its totient is φ = 46842880.

The previous prime is 121301197. The next prime is 121301203. The reversal of 121301200 is 2103121.

It is an interprime number because it is at equal distance from previous prime (121301197) and next prime (121301203).

It can be written as a sum of positive squares in 6 ways, for example, as 1354896 + 119946304 = 1164^2 + 10952^2 .

It is a super-2 number, since 2×121301200² = 29427962242880000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121301203) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6372 + ... + 16828.

It is an arithmetic number, because the mean of its divisors is an integer number (5025069).

Almost surely, 2^121301200 is an apocalyptic number.

121301200 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 121301200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150752070).

121301200 is an abundant number, since it is smaller than the sum of its proper divisors (180202940).

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

121301200 is a wasteful number, since it uses less digits than its factorization.

121301200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10504 (or 10493 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 10.

The square root of 121301200 is about 11013.6823996336. The cubic root of 121301200 is about 495.0188068901.

Adding to 121301200 its reverse (2103121), we get a palindrome (123404321).

The spelling of 121301200 in words is "one hundred twenty-one million, three hundred one thousand, two hundred".