2107219226112 has 960 divisors, whose sum is σ = 8386842207744. Its totient is φ = 491532779520.

The previous prime is 2107219226107. The next prime is 2107219226113. The reversal of 2107219226112 is 2116229127012.

It is a happy number.

2107219226112 is a `hidden beast` number, since 2 + 1 + 0 + 7 + 2 + 19 + 22 + 611 + 2 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2107219226113) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 170660323 + ... + 170672669.

Almost surely, 2^{2107219226112} is an apocalyptic number.

2107219226112 is a gapful number since it is divisible by the number (22) 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 2107219226112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4193421103872).

2107219226112 is an abundant number, since it is smaller than the sum of its proper divisors (6279622981632).

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

2107219226112 is a wasteful number, since it uses less digits than its factorization.

2107219226112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12439 (or 12420 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The spelling of 2107219226112 in words is "two trillion, one hundred seven billion, two hundred nineteen million, two hundred twenty-six thousand, one hundred twelve".