1221248952 has 144 divisors (see below), whose sum is σ = 4197468600. Its totient is φ = 317197440.

The previous prime is 1221248933. The next prime is 1221248981. The reversal of 1221248952 is 2598421221.

1221248952 is a `hidden beast` number, since 122 + 1 + 2 + 489 + 52 = 666.

It is a super-2 number, since 2×1221248952² = 2982898005522196608, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 23074 + ... + 54542.

Almost surely, 2^1221248952 is an apocalyptic number.

1221248952 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 1221248952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2098734300).

1221248952 is an abundant number, since it is smaller than the sum of its proper divisors (2976219648).

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

1221248952 is a wasteful number, since it uses less digits than its factorization.

1221248952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31506 (or 31492 counting only the distinct ones).

The product of its digits is 23040, while the sum is 36.

The square root of 1221248952 is about 34946.3725156131. The cubic root of 1221248952 is about 1068.8942348478.

The spelling of 1221248952 in words is "one billion, two hundred twenty-one million, two hundred forty-eight thousand, nine hundred fifty-two".