1202251680 has 384 divisors, whose sum is σ = 4877107200. Its totient is φ = 270922752.

The previous prime is 1202251669. The next prime is 1202251697. The reversal of 1202251680 is 861522021.

It is a happy number.

1202251680 is a `hidden beast` number, since 120 + 22 + 516 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2509681 + ... + 2510159.

It is an arithmetic number, because the mean of its divisors is an integer number (12700800).

Almost surely, 2^1202251680 is an apocalyptic number.

1202251680 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 1202251680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2438553600).

1202251680 is an abundant number, since it is smaller than the sum of its proper divisors (3674855520).

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

1202251680 is a wasteful number, since it uses less digits than its factorization.

1202251680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 593 (or 579 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 1202251680 is about 34673.5011211732. The cubic root of 1202251680 is about 1063.3228114074.

The spelling of 1202251680 in words is "one billion, two hundred two million, two hundred fifty-one thousand, six hundred eighty".