126102420 has 162 divisors, whose sum is σ = 410428746. Its totient is φ = 32542560.

The previous prime is 126102419. The next prime is 126102437. The reversal of 126102420 is 24201621.

126102420 is a `hidden beast` number, since 12 + 610 + 2 + 42 + 0 = 666.

It can be written as a sum of positive squares in only one way, i.e., 100881936 + 25220484 = 10044^2 + 5022^2 .

It is a tau number, because it is divible by the number of its divisors (162).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 126102393 and 126102402.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 4067805 + ... + 4067835.

Almost surely, 2^126102420 is an apocalyptic number.

126102420 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 126102420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205214373).

126102420 is an abundant number, since it is smaller than the sum of its proper divisors (284326326).

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

126102420 is an frugal number, since it uses more digits than its factorization.

126102420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 126102420 is about 11229.5333830039. The cubic root of 126102420 is about 501.4655932090.

The spelling of 126102420 in words is "one hundred twenty-six million, one hundred two thousand, four hundred twenty".