1211001133320 has 384 divisors, whose sum is σ = 4503438051840. Its totient is φ = 279562475520.

The previous prime is 1211001133289. The next prime is 1211001133343. The reversal of 1211001133320 is 233311001121.

1211001133320 is a `hidden beast` number, since 1 + 211 + 0 + 0 + 1 + 133 + 320 = 666.

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 = 1211001133293 and 1211001133302.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 6798514 + ... + 6974366.

It is an arithmetic number, because the mean of its divisors is an integer number (11727703260).

Almost surely, 2^{1211001133320} is an apocalyptic number.

1211001133320 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 1211001133320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2251719025920).

1211001133320 is an abundant number, since it is smaller than the sum of its proper divisors (3292436918520).

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

1211001133320 is a wasteful number, since it uses less digits than its factorization.

1211001133320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 175965 (or 175958 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 1211001133320 its reverse (233311001121), we get a palindrome (1444312134441).

The spelling of 1211001133320 in words is "one trillion, two hundred eleven billion, one million, one hundred thirty-three thousand, three hundred twenty".