1301021242400 has 144 divisors (see below), whose sum is σ = 3512321634528. Its totient is φ = 466617600000.

The previous prime is 1301021242361. The next prime is 1301021242439. The reversal of 1301021242400 is 42421201031.

It is an interprime number because it is at equal distance from previous prime (1301021242361) and next prime (1301021242439).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 370226 + ... + 1655025.

It is an arithmetic number, because the mean of its divisors is an integer number (24391122462).

Almost surely, 2^{1301021242400} is an apocalyptic number.

1301021242400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1301021242400 is an abundant number, since it is smaller than the sum of its proper divisors (2211300392128).

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

1301021242400 is a wasteful number, since it uses less digits than its factorization.

1301021242400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2025355 (or 2025342 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 1301021242400 its reverse (42421201031), we get a palindrome (1343442443431).

The spelling of 1301021242400 in words is "one trillion, three hundred one billion, twenty-one million, two hundred forty-two thousand, four hundred".