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1122200022944 = 2571113293119569
BaseRepresentation
bin10000010101001000010…
…101010110111110100000
310222021121001022210002202
4100111020111112332200
5121341231201213234
62215310453032332
7144035106544340
oct20251025267640
93867531283082
101122200022944
113a2a167258a0
121615a66256a8
1381a911c1b20
143c459a34d20
151e2ce94077e
hex10548556fa0

1122200022944 has 192 divisors, whose sum is σ = 2976523925760. Its totient is φ = 402207621120.

The previous prime is 1122200022943. The next prime is 1122200022953. The reversal of 1122200022944 is 4492200022211.

It is not an unprimeable number, because it can be changed into a prime (1122200022943) 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, 9325592 + ... + 9445160.

It is an arithmetic number, because the mean of its divisors is an integer number (15502728780).

Almost surely, 21122200022944 is an apocalyptic number.

1122200022944 is a gapful number since it is divisible by the number (14) 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 1122200022944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1488261962880).

1122200022944 is an abundant number, since it is smaller than the sum of its proper divisors (1854323902816).

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

1122200022944 is a wasteful number, since it uses less digits than its factorization.

1122200022944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119903 (or 119895 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 29.

The spelling of 1122200022944 in words is "one trillion, one hundred twenty-two billion, two hundred million, twenty-two thousand, nine hundred forty-four".