121272 has 32 divisors (see below), whose sum is σ = 314880. Its totient is φ = 38880.

The previous prime is 121271. The next prime is 121283. The reversal of 121272 is 272121.

It is an alternating number because its digits alternate between odd and even.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121271) 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, 663 + ... + 825.

It is an arithmetic number, because the mean of its divisors is an integer number (9840).

2¹²¹²⁷² is an apocalyptic number.

121272 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 121272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157440).

121272 is an abundant number, since it is smaller than the sum of its proper divisors (193608).

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

121272 is a wasteful number, since it uses less digits than its factorization.

121272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 203 (or 199 counting only the distinct ones).

The product of its digits is 56, while the sum is 15.

The square root of 121272 is about 348.2412956558. The cubic root of 121272 is about 49.4979082883.

Adding to 121272 its reverse (272121), we get a palindrome (393393).

It can be divided in two parts, 121 and 272, that added together give a palindrome (393).

The spelling of 121272 in words is "one hundred twenty-one thousand, two hundred seventy-two", and thus it is an iban number.