6212121040 has 80 divisors (see below), whose sum is σ = 14545832400. Its totient is φ = 2467270656.

The previous prime is 6212121023. The next prime is 6212121061. The reversal of 6212121040 is 401212126.

It can be written as a sum of positive squares in 8 ways, for example, as 786914704 + 5425206336 = 28052^2 + 73656^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×6212121040² = 77180895631221363200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 6212120999 and 6212121017.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12204306 + ... + 12204814.

It is an arithmetic number, because the mean of its divisors is an integer number (181822905).

Almost surely, 2^6212121040 is an apocalyptic number.

It is an amenable number.

6212121040 is an abundant number, since it is smaller than the sum of its proper divisors (8333711360).

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

6212121040 is a wasteful number, since it uses less digits than its factorization.

6212121040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1304 (or 1298 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 19.

The square root of 6212121040 is about 78817.0098392473. The cubic root of 6212121040 is about 1838.2869453249.

Adding to 6212121040 its reverse (401212126), we get a palindrome (6613333166).

The spelling of 6212121040 in words is "six billion, two hundred twelve million, one hundred twenty-one thousand, forty".