1217952000 has 216 divisors, whose sum is σ = 4383582840. Its totient is φ = 324710400.

The previous prime is 1217951989. The next prime is 1217952011. The reversal of 1217952000 is 2597121.

It is an interprime number because it is at equal distance from previous prime (1217951989) and next prime (1217952011).

It can be written as a sum of positive squares in 4 ways, for example, as 26873856 + 1191078144 = 5184^2 + 34512^2 .

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 285886 + ... + 290114.

It is an arithmetic number, because the mean of its divisors is an integer number (20294365).

Almost surely, 2^1217952000 is an apocalyptic number.

1217952000 is a gapful number since it is divisible by the number (10) 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 1217952000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2191791420).

1217952000 is an abundant number, since it is smaller than the sum of its proper divisors (3165630840).

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

1217952000 is an equidigital number, since it uses as much as digits as its factorization.

1217952000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4266 (or 4239 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 27.

The square root of 1217952000 is about 34899.1690445489. The cubic root of 1217952000 is about 1067.9314857365.

The spelling of 1217952000 in words is "one billion, two hundred seventeen million, nine hundred fifty-two thousand".