1121801967 has 128 divisors (see below), whose sum is σ = 2102768640. Its totient is φ = 587865600.

The previous prime is 1121801957. The next prime is 1121801999. The reversal of 1121801967 is 7691081211.

It is not a de Polignac number, because 1121801967 - 2⁸ = 1121801711 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1121801957) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 5316492 + ... + 5316702.

It is an arithmetic number, because the mean of its divisors is an integer number (16427880).

Almost surely, 2^1121801967 is an apocalyptic number.

1121801967 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

1121801967 is a deficient number, since it is larger than the sum of its proper divisors (980966673).

1121801967 is a wasteful number, since it uses less digits than its factorization.

1121801967 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 273 (or 255 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 36.

The square root of 1121801967 is about 33493.3122727508. The cubic root of 1121801967 is about 1039.0554685549.

The spelling of 1121801967 in words is "one billion, one hundred twenty-one million, eight hundred one thousand, nine hundred sixty-seven".