1335016981200 has 480 divisors, whose sum is σ = 4949774265600. Its totient is φ = 301265141760.

The previous prime is 1335016981153. The next prime is 1335016981201. The reversal of 1335016981200 is 21896105331.

It is a super-2 number, since 2×1335016981200² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1335016981201) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 918799674 + ... + 918801126.

It is an arithmetic number, because the mean of its divisors is an integer number (10312029720).

Almost surely, 2^{1335016981200} is an apocalyptic number.

1335016981200 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 1335016981200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2474887132800).

1335016981200 is an abundant number, since it is smaller than the sum of its proper divisors (3614757284400).

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

1335016981200 is a wasteful number, since it uses less digits than its factorization.

1335016981200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2799 (or 2788 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 39.

The spelling of 1335016981200 in words is "one trillion, three hundred thirty-five billion, sixteen million, nine hundred eighty-one thousand, two hundred".