121967690 has 64 divisors (see below), whose sum is σ = 252473760. Its totient is φ = 42024960.

The previous prime is 121967687. The next prime is 121967693. The reversal of 121967690 is 96769121.

It is an interprime number because it is at equal distance from previous prime (121967687) and next prime (121967693).

It can be written as a sum of positive squares in 16 ways, for example, as 46607929 + 75359761 = 6827^2 + 8681^2 .

It is a super-2 number, since 2×121967690² = 29752234807872200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (121967693) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 505970 + ... + 506210.

Almost surely, 2^121967690 is an apocalyptic number.

121967690 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

121967690 is an abundant number, since it is smaller than the sum of its proper divisors (130506070).

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

121967690 is a wasteful number, since it uses less digits than its factorization.

121967690 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 507.

The product of its (nonzero) digits is 40824, while the sum is 41.

The square root of 121967690 is about 11043.8983153595. The cubic root of 121967690 is about 495.9237791522.

The spelling of 121967690 in words is "one hundred twenty-one million, nine hundred sixty-seven thousand, six hundred ninety".