1251126120 has 128 divisors (see below), whose sum is σ = 3901996800. Its totient is φ = 320538624.

The previous prime is 1251126061. The next prime is 1251126127. The reversal of 1251126120 is 216211521.

It is a super-3 number, since 3×1251126120³ (a number of 28 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (1251126127) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 810069 + ... + 811611.

It is an arithmetic number, because the mean of its divisors is an integer number (30484350).

Almost surely, 2^1251126120 is an apocalyptic number.

1251126120 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 1251126120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1950998400).

1251126120 is an abundant number, since it is smaller than the sum of its proper divisors (2650870680).

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

1251126120 is a wasteful number, since it uses less digits than its factorization.

1251126120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1819 (or 1815 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 21.

The square root of 1251126120 is about 35371.2612158515. The cubic root of 1251126120 is about 1077.5407348543.

Adding to 1251126120 its reverse (216211521), we get a palindrome (1467337641).

The spelling of 1251126120 in words is "one billion, two hundred fifty-one million, one hundred twenty-six thousand, one hundred twenty".