126919993200 has 960 divisors, whose sum is σ = 550173453312. Its totient is φ = 24153292800.

The previous prime is 126919993183. The next prime is 126919993237. The reversal of 126919993200 is 2399919621.

It is a happy number.

It is a super-2 number, since 2×126919993200² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 188588064 + ... + 188588736.

Almost surely, 2^126919993200 is an apocalyptic number.

126919993200 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 126919993200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (275086726656).

126919993200 is an abundant number, since it is smaller than the sum of its proper divisors (423253460112).

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

126919993200 is a wasteful number, since it uses less digits than its factorization.

126919993200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 882 (or 871 counting only the distinct ones).

The product of its (nonzero) digits is 472392, while the sum is 51.

The spelling of 126919993200 in words is "one hundred twenty-six billion, nine hundred nineteen million, nine hundred ninety-three thousand, two hundred".