1211407008 has 288 divisors, whose sum is σ = 3890690496. Its totient is φ = 328753152.

The previous prime is 1211407003. The next prime is 1211407031. The reversal of 1211407008 is 8007041121.

It is a super-3 number, since 3×1211407008³ (a number of 28 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (1211407003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10720360 + ... + 10720472.

It is an arithmetic number, because the mean of its divisors is an integer number (13509342).

Almost surely, 2^1211407008 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 1211407008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1945345248).

1211407008 is an abundant number, since it is smaller than the sum of its proper divisors (2679283488).

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

1211407008 is a wasteful number, since it uses less digits than its factorization.

1211407008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 236 (or 221 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 24.

The square root of 1211407008 is about 34805.2727040028. The cubic root of 1211407008 is about 1066.0151100740.

Adding to 1211407008 its reverse (8007041121), we get a palindrome (9218448129).

The spelling of 1211407008 in words is "one billion, two hundred eleven million, four hundred seven thousand, eight".