21240206130 has 256 divisors, whose sum is σ = 63740307456. Its totient is φ = 4450283520.

The previous prime is 21240206111. The next prime is 21240206149. The reversal of 21240206130 is 3160204212.

It is an interprime number because it is at equal distance from previous prime (21240206111) and next prime (21240206149).

It is a super-3 number, since 3×21240206130³ (a number of 32 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 21240206097 and 21240206106.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 16554469 + ... + 16555751.

It is an arithmetic number, because the mean of its divisors is an integer number (248985576).

Almost surely, 2^21240206130 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21240206130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31870153728).

21240206130 is an abundant number, since it is smaller than the sum of its proper divisors (42500101326).

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

21240206130 is a wasteful number, since it uses less digits than its factorization.

21240206130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1561.

The product of its (nonzero) digits is 576, while the sum is 21.

The spelling of 21240206130 in words is "twenty-one billion, two hundred forty million, two hundred six thousand, one hundred thirty".