1121436466920 has 1024 divisors, whose sum is σ = 4777574400000. Its totient is φ = 227211678720.

The previous prime is 1121436466867. The next prime is 1121436466933. The reversal of 1121436466920 is 296646341211.

1121436466920 is a `hidden beast` number, since 1 + 121 + 43 + 6 + 466 + 9 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 1872180781 + ... + 1872181379.

It is an arithmetic number, because the mean of its divisors is an integer number (4665600000).

Almost surely, 2^{1121436466920} is an apocalyptic number.

1121436466920 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 1121436466920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2388787200000).

1121436466920 is an abundant number, since it is smaller than the sum of its proper divisors (3656137933080).

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

1121436466920 is a wasteful number, since it uses less digits than its factorization.

1121436466920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1163 (or 1153 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The spelling of 1121436466920 in words is "one trillion, one hundred twenty-one billion, four hundred thirty-six million, four hundred sixty-six thousand, nine hundred twenty".