1242691200 has 384 divisors, whose sum is σ = 4793592000. Its totient is φ = 313528320.

The previous prime is 1242691199. The next prime is 1242691201. The reversal of 1242691200 is 21962421.

It is an interprime number because it is at equal distance from previous prime (1242691199) and next prime (1242691201).

It is a tau number, because it is divible by the number of its divisors (384).

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

It is not an unprimeable number, because it can be changed into a prime (1242691201) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1641222 + ... + 1641978.

Almost surely, 2^1242691200 is an apocalyptic number.

1242691200 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 1242691200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2396796000).

1242691200 is an abundant number, since it is smaller than the sum of its proper divisors (3550900800).

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

1242691200 is a wasteful number, since it uses less digits than its factorization.

1242691200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 809 (or 786 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 1242691200 is about 35251.8254846469. The cubic root of 1242691200 is about 1075.1137287285.

The spelling of 1242691200 in words is "one billion, two hundred forty-two million, six hundred ninety-one thousand, two hundred".