10261212040 has 128 divisors (see below), whose sum is σ = 24380928000. Its totient is φ = 3885822720.

The previous prime is 10261212037. The next prime is 10261212079. The reversal of 10261212040 is 4021216201.

10261212040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 10261211999 and 10261212017.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 94139506 + ... + 94139614.

It is an arithmetic number, because the mean of its divisors is an integer number (190476000).

Almost surely, 2^10261212040 is an apocalyptic number.

10261212040 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 10261212040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12190464000).

10261212040 is an abundant number, since it is smaller than the sum of its proper divisors (14119715960).

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

10261212040 is an equidigital number, since it uses as much as digits as its factorization.

10261212040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 292 (or 226 counting only the distinct ones).

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

Adding to 10261212040 its reverse (4021216201), we get a palindrome (14282428241).

The spelling of 10261212040 in words is "ten billion, two hundred sixty-one million, two hundred twelve thousand, forty".