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1121675208192 = 293271131101977
BaseRepresentation
bin10000010100101001000…
…011010110011000000000
310222020020110210102121100
4100110221003112120000
5121334142323130232
62215142424254400
7144016104646230
oct20245103263000
93866213712540
101121675208192
113a277745a7a0
1216147a911400
1381a0955bc56
143c40a05dcc0
151e29d824c7c
hex105290d6600

1121675208192 has 480 divisors, whose sum is σ = 4166263056384. Its totient is φ = 281943244800.

The previous prime is 1121675208191. The next prime is 1121675208209. The reversal of 1121675208192 is 2918025761211.

1121675208192 is a `hidden beast` number, since 11 + 21 + 6 + 7 + 520 + 8 + 1 + 92 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1121675208191) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10948308 + ... + 11050284.

Almost surely, 21121675208192 is an apocalyptic number.

1121675208192 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 1121675208192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2083131528192).

1121675208192 is an abundant number, since it is smaller than the sum of its proper divisors (3044587848192).

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

1121675208192 is a wasteful number, since it uses less digits than its factorization.

1121675208192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102050 (or 102031 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 45.

The spelling of 1121675208192 in words is "one trillion, one hundred twenty-one billion, six hundred seventy-five million, two hundred eight thousand, one hundred ninety-two".