121762682240 has 96 divisors (see below), whose sum is σ = 309219487200. Its totient is φ = 45839998976.

The previous prime is 121762682233. The next prime is 121762682263. The reversal of 121762682240 is 42286267121.

It is a happy number.

It is a super-2 number, since 2×121762682240² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 144200 + ... + 514119.

It is an arithmetic number, because the mean of its divisors is an integer number (3221036325).

Almost surely, 2^121762682240 is an apocalyptic number.

121762682240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

121762682240 is an abundant number, since it is smaller than the sum of its proper divisors (187456804960).

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

121762682240 is an equidigital number, since it uses as much as digits as its factorization.

121762682240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 658372 (or 658343 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 41.

The spelling of 121762682240 in words is "one hundred twenty-one billion, seven hundred sixty-two million, six hundred eighty-two thousand, two hundred forty".