1211200010020 has 192 divisors, whose sum is σ = 3415956364800. Its totient is φ = 348387287040.

The previous prime is 1211200010017. The next prime is 1211200010039. The reversal of 1211200010020 is 200100021121.

It is a super-3 number, since 3×1211200010020³ (a number of 37 digits) contains 333 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 1211200009979 and 1211200010006.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 144720396 + ... + 144728764.

It is an arithmetic number, because the mean of its divisors is an integer number (17791439400).

Almost surely, 2^{1211200010020} is an apocalyptic number.

1211200010020 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 1211200010020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1707978182400).

1211200010020 is an abundant number, since it is smaller than the sum of its proper divisors (2204756354780).

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

1211200010020 is a wasteful number, since it uses less digits than its factorization.

1211200010020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15638 (or 15636 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 1211200010020 its reverse (200100021121), we get a palindrome (1411300031141).

The spelling of 1211200010020 in words is "one trillion, two hundred eleven billion, two hundred million, ten thousand, twenty".