1121633662050 has 144 divisors (see below), whose sum is σ = 3304620633600. Its totient is φ = 270487344000.

The previous prime is 1121633662031. The next prime is 1121633662081. The reversal of 1121633662050 is 502663361211.

1121633662050 is a `hidden beast` number, since 1 + 1 + 21 + 6 + 3 + 3 + 6 + 620 + 5 + 0 = 666.

It is a super-2 number, since 2×1121633662050² (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1121633661996 and 1121633662014.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 352276 + ... + 1538624.

It is an arithmetic number, because the mean of its divisors is an integer number (22948754400).

Almost surely, 2^{1121633662050} is an apocalyptic number.

1121633662050 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1121633662050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1652310316800).

1121633662050 is an abundant number, since it is smaller than the sum of its proper divisors (2182986971550).

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

1121633662050 is a wasteful number, since it uses less digits than its factorization.

1121633662050 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1186569 (or 1186561 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The spelling of 1121633662050 in words is "one trillion, one hundred twenty-one billion, six hundred thirty-three million, six hundred sixty-two thousand, fifty".