126121100 has 72 divisors (see below), whose sum is σ = 319250400. Its totient is φ = 43229760.

The previous prime is 126121097. The next prime is 126121103. The reversal of 126121100 is 1121621.

It is an interprime number because it is at equal distance from previous prime (126121097) and next prime (126121103).

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (126121103) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 32462 + ... + 36138.

Almost surely, 2^126121100 is an apocalyptic number.

126121100 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 126121100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159625200).

126121100 is an abundant number, since it is smaller than the sum of its proper divisors (193129300).

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

126121100 is a wasteful number, since it uses less digits than its factorization.

126121100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3712 (or 3691 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 14.

The square root of 126121100 is about 11230.3650875651. The cubic root of 126121100 is about 501.4903532805.

Adding to 126121100 its reverse (1121621), we get a palindrome (127242721).

The spelling of 126121100 in words is "one hundred twenty-six million, one hundred twenty-one thousand, one hundred".