121776640 has 40 divisors (see below), whose sum is σ = 291984660. Its totient is φ = 48709632.

The previous prime is 121776637. The next prime is 121776659. The reversal of 121776640 is 46677121.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 120824064 + 952576 = 10992^2 + 976^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-3 number, since 3×121776640³ (a number of 25 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 121776596 and 121776605.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 21225 + ... + 26344.

Almost surely, 2^121776640 is an apocalyptic number.

121776640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

121776640 is an abundant number, since it is smaller than the sum of its proper divisors (170208020).

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

121776640 is an frugal number, since it uses more digits than its factorization.

121776640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47592 (or 47576 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 34.

The square root of 121776640 is about 11035.2453529589. The cubic root of 121776640 is about 495.6647057555.

The spelling of 121776640 in words is "one hundred twenty-one million, seven hundred seventy-six thousand, six hundred forty".