1221948072 has 64 divisors (see below), whose sum is σ = 3458376000. Its totient is φ = 399627072.

The previous prime is 1221948047. The next prime is 1221948103. The reversal of 1221948072 is 2708491221.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 41922 + ... + 64817.

It is an arithmetic number, because the mean of its divisors is an integer number (54037125).

Almost surely, 2^1221948072 is an apocalyptic number.

1221948072 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1221948072 is an abundant number, since it is smaller than the sum of its proper divisors (2236427928).

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

1221948072 is a wasteful number, since it uses less digits than its factorization.

1221948072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106807 (or 106797 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 1221948072 is about 34956.3738394016. The cubic root of 1221948072 is about 1069.0981634527.

The spelling of 1221948072 in words is "one billion, two hundred twenty-one million, nine hundred forty-eight thousand, seventy-two".