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1230032311200 = 2532527118326731
BaseRepresentation
bin10001111001100011101…
…000111001001110100000
311100120221001210120222200
4101321203220321032200
5130123101232424300
62341022525133200
7154603230064440
oct21714350711640
94316831716880
101230032311200
11434721199aa0
1217a47b3ba200
138bcb7583a54
1443768d84120
1521ee1598200
hex11e63a393a0

1230032311200 has 864 divisors, whose sum is σ = 5473026703872. Its totient is φ = 252502272000.

The previous prime is 1230032311199. The next prime is 1230032311267. The reversal of 1230032311200 is 21132300321.

1230032311200 is a `hidden beast` number, since 1 + 2 + 300 + 32 + 311 + 20 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

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 143 ways as a sum of consecutive naturals, for example, 46001835 + ... + 46028565.

It is an arithmetic number, because the mean of its divisors is an integer number (6334521648).

Almost surely, 21230032311200 is an apocalyptic number.

1230032311200 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 1230032311200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2736513351936).

1230032311200 is an abundant number, since it is smaller than the sum of its proper divisors (4242994392672).

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

1230032311200 is a wasteful number, since it uses less digits than its factorization.

1230032311200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26858 (or 26842 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 1230032311200 its reverse (21132300321), we get a palindrome (1251164611521).

The spelling of 1230032311200 in words is "one trillion, two hundred thirty billion, thirty-two million, three hundred eleven thousand, two hundred".