1211210110000 has 400 divisors, whose sum is σ = 3292485267456. Its totient is φ = 427680000000.

The previous prime is 1211210109971. The next prime is 1211210110009. The reversal of 1211210110000 is 110121121.

It is a tau number, because it is divible by the number of its divisors (400).

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (1211210110009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1222209505 + ... + 1222210495.

Almost surely, 2^{1211210110000} is an apocalyptic number.

1211210110000 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 1211210110000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1646242633728).

1211210110000 is an abundant number, since it is smaller than the sum of its proper divisors (2081275157456).

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

1211210110000 is a wasteful number, since it uses less digits than its factorization.

1211210110000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1342 (or 1321 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 1211210110000 its reverse (110121121), we get a palindrome (1211320231121).

It can be divided in two parts, 121 and 1210110000, that added together give a palindrome (1210110121).

The spelling of 1211210110000 in words is "one trillion, two hundred eleven billion, two hundred ten million, one hundred ten thousand".