2127195198000 has 960 divisors, whose sum is σ = 7950488457600. Its totient is φ = 528568934400.

The previous prime is 2127195197999. The next prime is 2127195198013. The reversal of 2127195198000 is 8915917212.

2127195198000 is a `hidden beast` number, since 2 + 127 + 1 + 9 + 519 + 8 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 9289061886 + ... + 9289062114.

It is an arithmetic number, because the mean of its divisors is an integer number (8281758810).

Almost surely, 2^{2127195198000} is an apocalyptic number.

2127195198000 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 2127195198000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3975244228800).

2127195198000 is an abundant number, since it is smaller than the sum of its proper divisors (5823293259600).

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

2127195198000 is a wasteful number, since it uses less digits than its factorization.

2127195198000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 607 (or 588 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 45.

The spelling of 2127195198000 in words is "two trillion, one hundred twenty-seven billion, one hundred ninety-five million, one hundred ninety-eight thousand".