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2121320232000 = 26335367146581
BaseRepresentation
bin11110110111101000100…
…010011111010001000000
321111210111110021012022000
4132313220202133101000
5234223430434411000
64302304314344000
7306155202314244
oct36675042372100
97453443235260
102121320232000
11748712a71832
122a3161a2b000
1312506911b5b8
147495b2a2424
153a2a8d1d000
hex1ede889f440

2121320232000 has 448 divisors, whose sum is σ = 7899104628480. Its totient is φ = 557238528000.

The previous prime is 2121320231971. The next prime is 2121320232001. The reversal of 2121320232000 is 2320231212.

2121320232000 is a `hidden beast` number, since 2 + 1 + 21 + 320 + 2 + 320 + 0 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (2121320232001) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 14398710 + ... + 14545290.

Almost surely, 22121320232000 is an apocalyptic number.

2121320232000 is a gapful number since it is divisible by the number (20) 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 2121320232000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3949552314240).

2121320232000 is an abundant number, since it is smaller than the sum of its proper divisors (5777784396480).

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

2121320232000 is a wasteful number, since it uses less digits than its factorization.

2121320232000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146684 (or 146658 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 2121320232000 its reverse (2320231212), we get a palindrome (2123640463212).

The spelling of 2121320232000 in words is "two trillion, one hundred twenty-one billion, three hundred twenty million, two hundred thirty-two thousand".