126026124 has 72 divisors (see below), whose sum is σ = 342655488. Its totient is φ = 35315040.

The previous prime is 126026123. The next prime is 126026143. The reversal of 126026124 is 421620621.

It is a zygodrome in base 2.

It is a junction number, because it is equal to n+sod(n) for n = 126026094 and 126026103.

It is not an unprimeable number, because it can be changed into a prime (126026123) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 292189 + ... + 292619.

It is an arithmetic number, because the mean of its divisors is an integer number (4759104).

Almost surely, 2^126026124 is an apocalyptic number.

126026124 is a gapful number since it is divisible by the number (14) 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 126026124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171327744).

126026124 is an abundant number, since it is smaller than the sum of its proper divisors (216629364).

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

126026124 is a wasteful number, since it uses less digits than its factorization.

126026124 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 563 (or 502 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 126026124 is about 11226.1357554592. The cubic root of 126026124 is about 501.3644385613.

Adding to 126026124 its reverse (421620621), we get a palindrome (547646745).

The spelling of 126026124 in words is "one hundred twenty-six million, twenty-six thousand, one hundred twenty-four".