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2012427244800 = 2836527431433
BaseRepresentation
bin11101010010001110000…
…000101101010100000000
321010101102111220022000000
4131102032000231110000
5230432422333313200
64140255112000000
7265251552225330
oct35221600552400
97111374808000
102012427244800
11706513796835
12286031990000
13117a0408936b
146d58b1250c0
1537533ee4300
hex1d48e02d500

2012427244800 has 1512 divisors, whose sum is σ = 8739660667584. Its totient is φ = 448972554240.

The previous prime is 2012427244787. The next prime is 2012427244811. The reversal of 2012427244800 is 84427242102.

2012427244800 is a `hidden beast` number, since 20 + 124 + 2 + 72 + 448 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1512).

It is a super-2 number, since 2×20124272448002 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 1404344884 + ... + 1404346316.

Almost surely, 22012427244800 is an apocalyptic number.

2012427244800 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 2012427244800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4369830333792).

2012427244800 is an abundant number, since it is smaller than the sum of its proper divisors (6727233422784).

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

2012427244800 is an equidigital number, since it uses as much as digits as its factorization.

2012427244800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1527 (or 1493 counting only the distinct ones).

The product of its (nonzero) digits is 57344, while the sum is 36.

The spelling of 2012427244800 in words is "two trillion, twelve billion, four hundred twenty-seven million, two hundred forty-four thousand, eight hundred".