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1121224324032 = 26331963154121
BaseRepresentation
bin10000010100001110001…
…011010111001111000000
310222012002001101010211000
4100110032023113033000
5121332231411332112
62215030000252000
7144001661335161
oct20241613271700
93865061333730
101121224324032
113a256599a85a
12161373911000
13819670129a7
143c3a6211768
151e273e5e7dc
hex1050e2d73c0

1121224324032 has 224 divisors, whose sum is σ = 3475238566400. Its totient is φ = 353503180800.

The previous prime is 1121224324021. The next prime is 1121224324037. The reversal of 1121224324032 is 2304234221211.

1121224324032 is a `hidden beast` number, since 1 + 1 + 2 + 1 + 224 + 32 + 403 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 1121224323987 and 1121224324005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1121224324037) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 20689932 + ... + 20744052.

Almost surely, 21121224324032 is an apocalyptic number.

1121224324032 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 1121224324032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1737619283200).

1121224324032 is an abundant number, since it is smaller than the sum of its proper divisors (2354014242368).

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

1121224324032 is a wasteful number, since it uses less digits than its factorization.

1121224324032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54792 (or 54776 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 1121224324032 its reverse (2304234221211), we get a palindrome (3425458545243).

The spelling of 1121224324032 in words is "one trillion, one hundred twenty-one billion, two hundred twenty-four million, three hundred twenty-four thousand, thirty-two".