1224369972 has 96 divisors (see below), whose sum is σ = 3646621440. Its totient is φ = 348001920.

The previous prime is 1224369967. The next prime is 1224369977. The reversal of 1224369972 is 2799634221.

1224369972 is a `hidden beast` number, since 122 + 436 + 9 + 97 + 2 = 666.

1224369972 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (1224369967) and next prime (1224369977).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1224369977) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 144822 + ... + 153042.

It is an arithmetic number, because the mean of its divisors is an integer number (37985640).

Almost surely, 2^1224369972 is an apocalyptic number.

1224369972 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1224369972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1823310720).

1224369972 is an abundant number, since it is smaller than the sum of its proper divisors (2422251468).

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

1224369972 is a wasteful number, since it uses less digits than its factorization.

1224369972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8438 (or 8430 counting only the distinct ones).

The product of its digits is 326592, while the sum is 45.

The square root of 1224369972 is about 34990.9984424566. The cubic root of 1224369972 is about 1069.8040145312.

It can be divided in two parts, 12243 and 69972, that added together give a triangular number (82215 = T₄₀₅).

The spelling of 1224369972 in words is "one billion, two hundred twenty-four million, three hundred sixty-nine thousand, nine hundred seventy-two".