1121212221948 has 576 divisors, whose sum is σ = 3853280471040. Its totient is φ = 266720864256.

The previous prime is 1121212221937. The next prime is 1121212221949. The reversal of 1121212221948 is 8491222121211.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1121212221949) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 93952990 + ... + 93964922.

It is an arithmetic number, because the mean of its divisors is an integer number (6689723040).

Almost surely, 2^{1121212221948} is an apocalyptic number.

1121212221948 is a gapful number since it is divisible by the number (18) 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 1121212221948, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1926640235520).

1121212221948 is an abundant number, since it is smaller than the sum of its proper divisors (2732068249092).

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

1121212221948 is a wasteful number, since it uses less digits than its factorization.

1121212221948 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12058 (or 12053 counting only the distinct ones).

The product of its digits is 9216, while the sum is 36.

The spelling of 1121212221948 in words is "one trillion, one hundred twenty-one billion, two hundred twelve million, two hundred twenty-one thousand, nine hundred forty-eight".