126428850000 has 1200 divisors, whose sum is σ = 506352591360. Its totient is φ = 30326400000.

The previous prime is 126428849971. The next prime is 126428850017. The reversal of 126428850000 is 58824621.

126428850000 is a `hidden beast` number, since 1 + 2 + 642 + 8 + 8 + 5 + 0 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1200).

It is a super-2 number, since 2×126428850000² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 2385449974 + ... + 2385450026.

Almost surely, 2^126428850000 is an apocalyptic number.

126428850000 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 126428850000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (253176295680).

126428850000 is an abundant number, since it is smaller than the sum of its proper divisors (379923741360).

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

126428850000 is an equidigital number, since it uses as much as digits as its factorization.

126428850000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The spelling of 126428850000 in words is "one hundred twenty-six billion, four hundred twenty-eight million, eight hundred fifty thousand".