126210105840 has 240 divisors, whose sum is σ = 484187010048. Its totient is φ = 26628885504.

The previous prime is 126210105797. The next prime is 126210105871. The reversal of 126210105840 is 48501012621.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×126210105840² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 126210105798 and 126210105807.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 61657 + ... + 506183.

Almost surely, 2^126210105840 is an apocalyptic number.

126210105840 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 126210105840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242093505024).

126210105840 is an abundant number, since it is smaller than the sum of its proper divisors (357976904208).

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

126210105840 is a wasteful number, since it uses less digits than its factorization.

126210105840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 444576 (or 444557 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 30.

The spelling of 126210105840 in words is "one hundred twenty-six billion, two hundred ten million, one hundred five thousand, eight hundred forty".