126020000 has 60 divisors (see below), whose sum is σ = 310077306. Its totient is φ = 50400000.

The previous prime is 126019987. The next prime is 126020003. The reversal of 126020000 is 20621.

It can be written as a sum of positive squares in 5 ways, for example, as 3519376 + 122500624 = 1876^2 + 11068^2 .

It is not an unprimeable number, because it can be changed into a prime (126020003) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 16850 + ... + 23150.

Almost surely, 2^126020000 is an apocalyptic number.

126020000 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 126020000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155038653).

126020000 is an abundant number, since it is smaller than the sum of its proper divisors (184057306).

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

126020000 is an frugal number, since it uses more digits than its factorization.

126020000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6331 (or 6308 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 11.

The square root of 126020000 is about 11225.8629957790. The cubic root of 126020000 is about 501.3563174790.

Adding to 126020000 its reverse (20621), we get a palindrome (126040621).

The spelling of 126020000 in words is "one hundred twenty-six million, twenty thousand".