30823012212480 has 864 divisors, whose sum is σ = 120051155742336. Its totient is φ = 7259953299456.

The previous prime is 30823012212469. The next prime is 30823012212481. The reversal of 30823012212480 is 8421221032803.

30823012212480 is a `hidden beast` number, since 30 + 8 + 2 + 301 + 221 + 24 + 80 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30823012212481) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 238664404 + ... + 238793516.

It is an arithmetic number, because the mean of its divisors is an integer number (138948096924).

Almost surely, 2^{30823012212480} is an apocalyptic number.

30823012212480 is a gapful number since it is divisible by the number (30) 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 30823012212480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60025577871168).

30823012212480 is an abundant number, since it is smaller than the sum of its proper divisors (89228143529856).

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

30823012212480 is a wasteful number, since it uses less digits than its factorization.

30823012212480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129233 (or 129216 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The spelling of 30823012212480 in words is "thirty trillion, eight hundred twenty-three billion, twelve million, two hundred twelve thousand, four hundred eighty".