1001214126 has 96 divisors (see below), whose sum is σ = 2424101472. Its totient is φ = 296110080.

The previous prime is 1001214121. The next prime is 1001214157. The reversal of 1001214126 is 6214121001.

1001214126 is a nontrivial binomial coefficient, being equal to C(44749, 2).

It is a super-2 number, since 2×1001214126² = 2004859452203887752, which contains 22 as substring.

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 = 1001214099 and 1001214108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1001214121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1632996 + ... + 1633608.

It is an arithmetic number, because the mean of its divisors is an integer number (25251057).

Almost surely, 2^1001214126 is an apocalyptic number.

1001214126 is the 44748-th triangular number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1001214126, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1212050736).

1001214126 is an abundant number, since it is smaller than the sum of its proper divisors (1422887346).

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

1001214126 is a wasteful number, since it uses less digits than its factorization.

1001214126 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 818 (or 815 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

The square root of 1001214126 is about 31641.9677959510. The cubic root of 1001214126 is about 1000.4045449880.

Adding to 1001214126 its reverse (6214121001), we get a palindrome (7215335127).

The spelling of 1001214126 in words is "one billion, one million, two hundred fourteen thousand, one hundred twenty-six".