1211134241020 has 96 divisors (see below), whose sum is σ = 2786910126336. Its totient is φ = 438459840000.

The previous prime is 1211134240957. The next prime is 1211134241041. The reversal of 1211134241020 is 201424311121.

It is a super-2 number, since 2×1211134241020² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 1211134240982 and 1211134241000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 184818064 + ... + 184824616.

It is an arithmetic number, because the mean of its divisors is an integer number (29030313816).

Almost surely, 2^{1211134241020} is an apocalyptic number.

1211134241020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1211134241020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1393455063168).

1211134241020 is an abundant number, since it is smaller than the sum of its proper divisors (1575775885316).

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

1211134241020 is a wasteful number, since it uses less digits than its factorization.

1211134241020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10171 (or 10169 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 22.

Adding to 1211134241020 its reverse (201424311121), we get a palindrome (1412558552141).

The spelling of 1211134241020 in words is "one trillion, two hundred eleven billion, one hundred thirty-four million, two hundred forty-one thousand, twenty".