126894200209920 has 2400 divisors, whose sum is σ = 547103882913984. Its totient is φ = 27855647539200.

The previous prime is 126894200209873. The next prime is 126894200209957. The reversal of 126894200209920 is 29902002498621.

It is a happy number.

126894200209920 is a `hidden beast` number, since 1 + 2 + 6 + 8 + 9 + 420 + 0 + 209 + 9 + 2 + 0 = 666.

It is a super-2 number, since 2×126894200209920² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 20430555615 + ... + 20430561825.

Almost surely, 2^{126894200209920} is an apocalyptic number.

126894200209920 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 126894200209920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (273551941456992).

126894200209920 is an abundant number, since it is smaller than the sum of its proper divisors (420209682704064).

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

126894200209920 is a wasteful number, since it uses less digits than its factorization.

126894200209920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6336 (or 6298 counting only the distinct ones).

The product of its (nonzero) digits is 2239488, while the sum is 54.

The spelling of 126894200209920 in words is "one hundred twenty-six trillion, eight hundred ninety-four billion, two hundred million, two hundred nine thousand, nine hundred twenty".