1230459310080 has 3744 divisors, whose sum is σ = 6285529635840. Its totient is φ = 223590481920.

The previous prime is 1230459310063. The next prime is 1230459310111. The reversal of 1230459310080 is 800139540321.

1230459310080 is a `hidden beast` number, since 1 + 23 + 0 + 459 + 3 + 100 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (3744).

It is a super-2 number, since 2×1230459310080² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 64761016311 + ... + 64761016329.

It is an arithmetic number, because the mean of its divisors is an integer number (1678827360).

Almost surely, 2^{1230459310080} is an apocalyptic number.

1230459310080 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 1230459310080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3142764817920).

1230459310080 is an abundant number, since it is smaller than the sum of its proper divisors (5055070325760).

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

1230459310080 is a wasteful number, since it uses less digits than its factorization.

1230459310080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The spelling of 1230459310080 in words is "one trillion, two hundred thirty billion, four hundred fifty-nine million, three hundred ten thousand, eighty".