1200005000061 has 64 divisors (see below), whose sum is σ = 1864664395776. Its totient is φ = 672323904000.

The previous prime is 1200005000059. The next prime is 1200005000093. The reversal of 1200005000061 is 1600005000021.

It is not a de Polignac number, because 1200005000061 - 2¹ = 1200005000059 is a prime.

It is a super-2 number, since 2×1200005000061² (a number of 25 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1200005000061.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1200001000061) 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, 204044841 + ... + 204050721.

It is an arithmetic number, because the mean of its divisors is an integer number (29135381184).

Almost surely, 2^{1200005000061} is an apocalyptic number.

It is an amenable number.

1200005000061 is a deficient number, since it is larger than the sum of its proper divisors (664659395715).

1200005000061 is a wasteful number, since it uses less digits than its factorization.

1200005000061 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6842.

The product of its (nonzero) digits is 60, while the sum is 15.

The spelling of 1200005000061 in words is "one trillion, two hundred billion, five million, sixty-one", and thus it is an aban number.