1211973131952 has 320 divisors, whose sum is σ = 3921190456320. Its totient is φ = 355254681600.

The previous prime is 1211973131951. The next prime is 1211973131953. The reversal of 1211973131952 is 2591313791121.

1211973131952 is a `hidden beast` number, since 1 + 211 + 9 + 73 + 1 + 319 + 52 = 666.

It is an interprime number because it is at equal distance from previous prime (1211973131951) and next prime (1211973131953).

It is a junction number, because it is equal to n+sod(n) for n = 1211973131898 and 1211973131907.

It is not an unprimeable number, because it can be changed into a prime (1211973131951) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 17847888 + ... + 17915664.

It is an arithmetic number, because the mean of its divisors is an integer number (12253720176).

Almost surely, 2^{1211973131952} is an apocalyptic number.

1211973131952 is a gapful number since it is divisible by the number (12) 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 1211973131952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1960595228160).

1211973131952 is an abundant number, since it is smaller than the sum of its proper divisors (2709217324368).

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

1211973131952 is a wasteful number, since it uses less digits than its factorization.

1211973131952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67929 (or 67917 counting only the distinct ones).

The product of its digits is 102060, while the sum is 45.

The spelling of 1211973131952 in words is "one trillion, two hundred eleven billion, nine hundred seventy-three million, one hundred thirty-one thousand, nine hundred fifty-two".