1211010042240 has 192 divisors, whose sum is σ = 4260671429040. Its totient is φ = 316842799104.

The previous prime is 1211010042181. The next prime is 1211010042247. The reversal of 1211010042240 is 422400101121.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-3 number, since 3×1211010042240³ (a number of 37 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1211010042247) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1678162 + ... + 2288721.

Almost surely, 2^{1211010042240} is an apocalyptic number.

1211010042240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1211010042240 is an abundant number, since it is smaller than the sum of its proper divisors (3049661386800).

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

1211010042240 is a wasteful number, since it uses less digits than its factorization.

1211010042240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3966961 (or 3966946 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 1211010042240 its reverse (422400101121), we get a palindrome (1633410143361).

The spelling of 1211010042240 in words is "one trillion, two hundred eleven billion, ten million, forty-two thousand, two hundred forty".