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1000422120000 = 2635417653751
BaseRepresentation
bin11101000111011011100…
…11100001101001000000
310112122021010201100021010
432203231303201221000
5112342331030320000
62043330530000520
7132164251466412
oct16435563415100
93478233640233
101000422120000
113563052299a6
12141a7b416140
13734548834a4
14365c65289b2
151b053848d50
hexe8edce1a40

1000422120000 has 560 divisors, whose sum is σ = 3512229126912. Its totient is φ = 250368000000.

The previous prime is 1000422119933. The next prime is 1000422120001. The reversal of 1000422120000 is 212240001.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (1000422120001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1332119625 + ... + 1332120375.

Almost surely, 21000422120000 is an apocalyptic number.

1000422120000 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 1000422120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1756114563456).

1000422120000 is an abundant number, since it is smaller than the sum of its proper divisors (2511807006912).

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

1000422120000 is an equidigital number, since it uses as much as digits as its factorization.

1000422120000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1456 (or 1431 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 1000422120000 its reverse (212240001), we get a palindrome (1000634360001).

The spelling of 1000422120000 in words is "one trillion, four hundred twenty-two million, one hundred twenty thousand".