30122001360 has 600 divisors, whose sum is σ = 117923968008. Its totient is φ = 7116595200.

The previous prime is 30122001341. The next prime is 30122001383. The reversal of 30122001360 is 6310022103.

30122001360 is a `hidden beast` number, since 301 + 2 + 2 + 0 + 0 + 1 + 360 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1663660944 + 28458340416 = 40788^2 + 168696^2 .

It is a super-3 number, since 3×30122001360³ (a number of 32 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 32146812 + ... + 32147748.

Almost surely, 2^30122001360 is an apocalyptic number.

30122001360 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 30122001360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58961984004).

30122001360 is an abundant number, since it is smaller than the sum of its proper divisors (87801966648).

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

30122001360 is a wasteful number, since it uses less digits than its factorization.

30122001360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1025 (or 999 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 30122001360 its reverse (6310022103), we get a palindrome (36432023463).

It can be divided in two parts, 301 and 22001360, that added together give a triangular number (22001661 = T₆₆₃₃).

The spelling of 30122001360 in words is "thirty billion, one hundred twenty-two million, one thousand, three hundred sixty".