10123211134240 has 48 divisors (see below), whose sum is σ = 24499405498680. Its totient is φ = 3950521415680.

The previous prime is 10123211134217. The next prime is 10123211134301. The reversal of 10123211134240 is 4243111232101.

10123211134240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 8460256457104 + 1662954677136 = 2908652^2 + 1289556^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 771579655 + ... + 771592774.

Almost surely, 2^{10123211134240} is an apocalyptic number.

10123211134240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10123211134240 is an abundant number, since it is smaller than the sum of its proper divisors (14376194364440).

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

10123211134240 is a wasteful number, since it uses less digits than its factorization.

10123211134240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1543172485 (or 1543172477 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 25.

Adding to 10123211134240 its reverse (4243111232101), we get a palindrome (14366322366341).

The spelling of 10123211134240 in words is "ten trillion, one hundred twenty-three billion, two hundred eleven million, one hundred thirty-four thousand, two hundred forty".