126288429300 has 432 divisors, whose sum is σ = 448770276864. Its totient is φ = 29427840000.

The previous prime is 126288429283. The next prime is 126288429317. The reversal of 126288429300 is 3924882621.

126288429300 is a `hidden beast` number, since 1 + 26 + 288 + 42 + 9 + 300 = 666.

It is an interprime number because it is at equal distance from previous prime (126288429283) and next prime (126288429317).

It is a super-2 number, since 2×126288429300² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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 143 ways as a sum of consecutive naturals, for example, 48181990 + ... + 48184610.

Almost surely, 2^126288429300 is an apocalyptic number.

126288429300 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 126288429300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224385138432).

126288429300 is an abundant number, since it is smaller than the sum of its proper divisors (322481847564).

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

126288429300 is a wasteful number, since it uses less digits than its factorization.

126288429300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2840 (or 2830 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The spelling of 126288429300 in words is "one hundred twenty-six billion, two hundred eighty-eight million, four hundred twenty-nine thousand, three hundred".