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1000033200012 = 22371110142125453
BaseRepresentation
bin11101000110101101001…
…11111010011110001100
310112121021000220011100010
432203112213322132030
5112341031444400022
62043224154033220
7132151516643040
oct16432647723614
93477230804303
101000033200012
11356125741620
12141991118810
13733c2121212
143658aa0a020
151b02e62350c
hexe8d69fa78c

1000033200012 has 192 divisors, whose sum is σ = 2945085631488. Its totient is φ = 256556160000.

The previous prime is 1000033199999. The next prime is 1000033200017. The reversal of 1000033200012 is 2100023300001.

It is a happy number.

It is a super-2 number, since 2×10000332000122 (a number of 25 digits) contains 22 as substring.

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 (1000033200017) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 39276678 + ... + 39302130.

It is an arithmetic number, because the mean of its divisors is an integer number (15338987664).

Almost surely, 21000033200012 is an apocalyptic number.

1000033200012 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 1000033200012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1472542815744).

1000033200012 is an abundant number, since it is smaller than the sum of its proper divisors (1945052431476).

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

1000033200012 is a wasteful number, since it uses less digits than its factorization.

1000033200012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26000 (or 25998 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

Adding to 1000033200012 its reverse (2100023300001), we get a palindrome (3100056500013).

The spelling of 1000033200012 in words is "one trillion, thirty-three million, two hundred thousand, twelve".