1211402341100 has 144 divisors (see below), whose sum is σ = 3034371787776. Its totient is φ = 411186048000.

The previous prime is 1211402341091. The next prime is 1211402341103. The reversal of 1211402341100 is 11432041121.

It is a super-3 number, since 3×1211402341100³ (a number of 37 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (1211402341103) 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 47 ways as a sum of consecutive naturals, for example, 72051695 + ... + 72068505.

It is an arithmetic number, because the mean of its divisors is an integer number (21072026304).

Almost surely, 2^{1211402341100} is an apocalyptic number.

1211402341100 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 1211402341100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1517185893888).

1211402341100 is an abundant number, since it is smaller than the sum of its proper divisors (1822969446676).

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

1211402341100 is a wasteful number, since it uses less digits than its factorization.

1211402341100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17856 (or 17849 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 20.

Adding to 1211402341100 its reverse (11432041121), we get a palindrome (1222834382221).

The spelling of 1211402341100 in words is "one trillion, two hundred eleven billion, four hundred two million, three hundred forty-one thousand, one hundred".