121261272 has 128 divisors (see below), whose sum is σ = 359251200. Its totient is φ = 33689600.

The previous prime is 121261271. The next prime is 121261279. The reversal of 121261272 is 272162121.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121261271) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 183679 + ... + 184337.

It is an arithmetic number, because the mean of its divisors is an integer number (2806650).

Almost surely, 2^121261272 is an apocalyptic number.

121261272 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 121261272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179625600).

121261272 is an abundant number, since it is smaller than the sum of its proper divisors (237989928).

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

121261272 is a wasteful number, since it uses less digits than its factorization.

121261272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 737 (or 733 counting only the distinct ones).

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

The square root of 121261272 is about 11011.8695960314. The cubic root of 121261272 is about 494.9644867900.

The spelling of 121261272 in words is "one hundred twenty-one million, two hundred sixty-one thousand, two hundred seventy-two".