1335445101012 has 288 divisors, whose sum is σ = 3560156393472. Its totient is φ = 389055744000.

The previous prime is 1335445100999. The next prime is 1335445101013. The reversal of 1335445101012 is 2101015445331.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1335445101013) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1307977062 + ... + 1307978082.

It is an arithmetic number, because the mean of its divisors is an integer number (12361654144).

Almost surely, 2^{1335445101012} is an apocalyptic number.

1335445101012 is a gapful number since it is divisible by the number (12) 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 1335445101012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1780078196736).

1335445101012 is an abundant number, since it is smaller than the sum of its proper divisors (2224711292460).

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

1335445101012 is a wasteful number, since it uses less digits than its factorization.

1335445101012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1391 (or 1378 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 30.

The spelling of 1335445101012 in words is "one trillion, three hundred thirty-five billion, four hundred forty-five million, one hundred one thousand, twelve".