1211012122320 has 960 divisors, whose sum is σ = 5608270047744. Its totient is φ = 225999175680.

The previous prime is 1211012122303. The next prime is 1211012122351. The reversal of 1211012122320 is 232212101121.

1211012122320 is a `hidden beast` number, since 1 + 211 + 0 + 12 + 122 + 320 = 666.

It is a super-3 number, since 3×1211012122320³ (a number of 37 digits) contains 333 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 1211012122293 and 1211012122302.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 26643934 + ... + 26689346.

Almost surely, 2^{1211012122320} is an apocalyptic number.

1211012122320 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 1211012122320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2804135023872).

1211012122320 is an abundant number, since it is smaller than the sum of its proper divisors (4397257925424).

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

1211012122320 is a wasteful number, since it uses less digits than its factorization.

1211012122320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45500 (or 45491 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 1211012122320 its reverse (232212101121), we get a palindrome (1443224223441).

The spelling of 1211012122320 in words is "one trillion, two hundred eleven billion, twelve million, one hundred twenty-two thousand, three hundred twenty".