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1121112211320 = 2332583299912511
BaseRepresentation
bin10000010100000111011…
…111101011111101111000
310222011210020102020002100
4100110013133223331320
5121332014211230240
62215010513303400
7143666130364023
oct20240737537570
93864706366070
101121112211320
113a2508685922
12161342264b60
1381949a1aaca
143c39538a1ba
151e2691b5e30
hex105077ebf78

1121112211320 has 192 divisors, whose sum is σ = 3689038080000. Its totient is φ = 295239202560.

The previous prime is 1121112211267. The next prime is 1121112211459. The reversal of 1121112211320 is 231122111211.

It is a happy number.

1121112211320 is a `hidden beast` number, since 1 + 1 + 21 + 112 + 211 + 320 = 666.

It is a super-2 number, since 2×11211122113202 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 1121112211293 and 1121112211302.

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 89603865 + ... + 89616375.

It is an arithmetic number, because the mean of its divisors is an integer number (19213740000).

Almost surely, 21121112211320 is an apocalyptic number.

1121112211320 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 1121112211320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1844519040000).

1121112211320 is an abundant number, since it is smaller than the sum of its proper divisors (2567925868680).

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

1121112211320 is a wasteful number, since it uses less digits than its factorization.

1121112211320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15610 (or 15603 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 18.

Adding to 1121112211320 its reverse (231122111211), we get a palindrome (1352234322531).

The spelling of 1121112211320 in words is "one trillion, one hundred twenty-one billion, one hundred twelve million, two hundred eleven thousand, three hundred twenty".