2012209436160 has 960 divisors, whose sum is σ = 8709674688000. Its totient is φ = 417099939840.

The previous prime is 2012209436137. The next prime is 2012209436173. The reversal of 2012209436160 is 616349022102.

It is a happy number.

2012209436160 is a `hidden beast` number, since 2 + 0 + 1 + 2 + 209 + 436 + 16 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

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 95 ways as a sum of consecutive naturals, for example, 885264784 + ... + 885267056.

It is an arithmetic number, because the mean of its divisors is an integer number (9072577800).

Almost surely, 2^{2012209436160} is an apocalyptic number.

2012209436160 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 2012209436160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4354837344000).

2012209436160 is an abundant number, since it is smaller than the sum of its proper divisors (6697465251840).

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

2012209436160 is a wasteful number, since it uses less digits than its factorization.

2012209436160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2819 (or 2800 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The spelling of 2012209436160 in words is "two trillion, twelve billion, two hundred nine million, four hundred thirty-six thousand, one hundred sixty".