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1122400000000 = 211582361
BaseRepresentation
bin10000010101010100010…
…000001101100000000000
310222022002222121200001101
4100111110100031200000
5121342133400000000
62215342355144144
7144043055404666
oct20252420154000
93868088550041
101122400000000
113a30095a2594
121616415a5054
1381ac376b846
143c47840cc36
151e2e2292e6a
hex1055440d800

1122400000000 has 432 divisors, whose sum is σ = 2975271914160. Its totient is φ = 422400000000.

The previous prime is 1122399999979. The next prime is 1122400000103. The reversal of 1122400000000 is 42211.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 18399999970 + ... + 18400000030.

It is an arithmetic number, because the mean of its divisors is an integer number (6887203505).

Almost surely, 21122400000000 is an apocalyptic number.

1122400000000 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 1122400000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1487635957080).

1122400000000 is an abundant number, since it is smaller than the sum of its proper divisors (1852871914160).

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

1122400000000 is an frugal number, since it uses more digits than its factorization.

1122400000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146 (or 91 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 1122400000000 its reverse (42211), we get a palindrome (1122400042211).

The spelling of 1122400000000 in words is "one trillion, one hundred twenty-two billion, four hundred million", and thus it is an aban number.