1211100404514 has 384 divisors, whose sum is σ = 3360652001280. Its totient is φ = 285985728000.

The previous prime is 1211100404513. The next prime is 1211100404533. The reversal of 1211100404514 is 4154040011121.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (1211100404513) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 946911327 + ... + 946912605.

It is an arithmetic number, because the mean of its divisors is an integer number (8751697920).

Almost surely, 2^{1211100404514} is an apocalyptic number.

1211100404514 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1211100404514, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1680326000640).

1211100404514 is an abundant number, since it is smaller than the sum of its proper divisors (2149551596766).

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

1211100404514 is a wasteful number, since it uses less digits than its factorization.

1211100404514 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1646 (or 1639 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 24.

Adding to 1211100404514 its reverse (4154040011121), we get a palindrome (5365140415635).

The spelling of 1211100404514 in words is "one trillion, two hundred eleven billion, one hundred million, four hundred four thousand, five hundred fourteen".