1211413314144 has 96 divisors (see below), whose sum is σ = 3500873671680. Its totient is φ = 363727065600.

The previous prime is 1211413314107. The next prime is 1211413314169. The reversal of 1211413314144 is 4414133141121.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-3 number, since 3×1211413314144³ (a number of 37 digits) contains 333 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

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, 5147152 + ... + 5377359.

It is an arithmetic number, because the mean of its divisors is an integer number (36467434080).

Almost surely, 2^{1211413314144} is an apocalyptic number.

It is an amenable number.

1211413314144 is an abundant number, since it is smaller than the sum of its proper divisors (2289460357536).

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

1211413314144 is a wasteful number, since it uses less digits than its factorization.

1211413314144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10524644 (or 10524636 counting only the distinct ones).

The product of its digits is 4608, while the sum is 30.

Adding to 1211413314144 its reverse (4414133141121), we get a palindrome (5625546455265).

The spelling of 1211413314144 in words is "one trillion, two hundred eleven billion, four hundred thirteen million, three hundred fourteen thousand, one hundred forty-four".