1211071264 has 96 divisors (see below), whose sum is σ = 2663781120. Its totient is φ = 538417152.

The previous prime is 1211071259. The next prime is 1211071283. The reversal of 1211071264 is 4621701121.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1412724 + ... + 1413580.

It is an arithmetic number, because the mean of its divisors is an integer number (27747720).

Almost surely, 2^1211071264 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1211071264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1331890560).

1211071264 is an abundant number, since it is smaller than the sum of its proper divisors (1452709856).

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

1211071264 is a wasteful number, since it uses less digits than its factorization.

1211071264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1002 (or 994 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 25.

The square root of 1211071264 is about 34800.4491925032. The cubic root of 1211071264 is about 1065.9166181978.

Adding to 1211071264 its reverse (4621701121), we get a palindrome (5832772385).

The spelling of 1211071264 in words is "one billion, two hundred eleven million, seventy-one thousand, two hundred sixty-four".