121334440 has 64 divisors (see below), whose sum is σ = 291891600. Its totient is φ = 45232128.

The previous prime is 121334419. The next prime is 121334459. The reversal of 121334440 is 44433121.

It can be written as a sum of positive squares in 8 ways, for example, as 45400644 + 75933796 = 6738^2 + 8714^2 .

It is a super-2 number, since 2×121334440² = 29444092660227200, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 73302 + ... + 74938.

Almost surely, 2^121334440 is an apocalyptic number.

121334440 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 121334440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145945800).

121334440 is an abundant number, since it is smaller than the sum of its proper divisors (170557160).

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

121334440 is a wasteful number, since it uses less digits than its factorization.

121334440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1774 (or 1770 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

The square root of 121334440 is about 11015.1913283429. The cubic root of 121334440 is about 495.0640192001.

Adding to 121334440 its reverse (44433121), we get a palindrome (165767561).

It can be divided in two parts, 1213 and 34440, that added together give a palindrome (35653).

The spelling of 121334440 in words is "one hundred twenty-one million, three hundred thirty-four thousand, four hundred forty".