126225703032 has 256 divisors, whose sum is σ = 390849822720. Its totient is φ = 33440601600.

The previous prime is 126225703031. The next prime is 126225703061. The reversal of 126225703032 is 230307522621.

126225703032 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 126225702984 and 126225703002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (126225703031) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4987803 + ... + 5013045.

It is an arithmetic number, because the mean of its divisors is an integer number (1526757120).

Almost surely, 2^126225703032 is an apocalyptic number.

126225703032 is a gapful number since it is divisible by the number (12) 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 126225703032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195424911360).

126225703032 is an abundant number, since it is smaller than the sum of its proper divisors (264624119688).

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

126225703032 is a wasteful number, since it uses less digits than its factorization.

126225703032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25354 (or 25350 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 33.

The spelling of 126225703032 in words is "one hundred twenty-six billion, two hundred twenty-five million, seven hundred three thousand, thirty-two".