11211974135340 has 384 divisors, whose sum is σ = 36663436615680. Its totient is φ = 2531533824000.

The previous prime is 11211974135309. The next prime is 11211974135377. The reversal of 11211974135340 is 4353147911211.

It is a junction number, because it is equal to n+sod(n) for n = 11211974135292 and 11211974135301.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 183642859 + ... + 183703901.

It is an arithmetic number, because the mean of its divisors is an integer number (95477699520).

Almost surely, 2^{11211974135340} is an apocalyptic number.

11211974135340 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 11211974135340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18331718307840).

11211974135340 is an abundant number, since it is smaller than the sum of its proper divisors (25451462480340).

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

11211974135340 is a wasteful number, since it uses less digits than its factorization.

11211974135340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61333 (or 61331 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 42.

The spelling of 11211974135340 in words is "eleven trillion, two hundred eleven billion, nine hundred seventy-four million, one hundred thirty-five thousand, three hundred forty".