126122220 has 144 divisors (see below), whose sum is σ = 440294400. Its totient is φ = 28626048.

The previous prime is 126122203. The next prime is 126122221. The reversal of 126122220 is 22221621.

126122220 is a `hidden beast` number, since 12 + 612 + 22 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 126122193 and 126122202.

It is not an unprimeable number, because it can be changed into a prime (126122221) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 250489 + ... + 250991.

It is an arithmetic number, because the mean of its divisors is an integer number (3057600).

Almost surely, 2^126122220 is an apocalyptic number.

126122220 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 126122220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220147200).

126122220 is an abundant number, since it is smaller than the sum of its proper divisors (314172180).

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

126122220 is a wasteful number, since it uses less digits than its factorization.

126122220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 724 (or 719 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 126122220 is about 11230.4149522624. The cubic root of 126122220 is about 501.4918377467.

Adding to 126122220 its reverse (22221621), we get a palindrome (148343841).

The spelling of 126122220 in words is "one hundred twenty-six million, one hundred twenty-two thousand, two hundred twenty".