1145355301200 has 480 divisors, whose sum is σ = 4169675980800. Its totient is φ = 266229504000.

The previous prime is 1145355301177. The next prime is 1145355301217. The reversal of 1145355301200 is 21035535411.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 44589961 + ... + 44615639.

It is an arithmetic number, because the mean of its divisors is an integer number (8686824960).

Almost surely, 2^{1145355301200} is an apocalyptic number.

1145355301200 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 1145355301200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2084837990400).

1145355301200 is an abundant number, since it is smaller than the sum of its proper divisors (3024320679600).

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

1145355301200 is a wasteful number, since it uses less digits than its factorization.

1145355301200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25851 (or 25840 counting only the distinct ones).

The product of its (nonzero) digits is 9000, while the sum is 30.

The spelling of 1145355301200 in words is "one trillion, one hundred forty-five billion, three hundred fifty-five million, three hundred one thousand, two hundred".