2112429570048 has 720 divisors, whose sum is σ = 7772080876560. Its totient is φ = 568011128832.

The previous prime is 2112429570037. The next prime is 2112429570077. The reversal of 2112429570048 is 8400759242112.

2112429570048 is a `hidden beast` number, since 2 + 1 + 12 + 4 + 29 + 570 + 0 + 48 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 2112429569985 and 2112429570012.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 138177061 + ... + 138192347.

It is an arithmetic number, because the mean of its divisors is an integer number (10794556773).

Almost surely, 2^{2112429570048} is an apocalyptic number.

2112429570048 is a gapful number since it is divisible by the number (28) 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 2112429570048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3886040438280).

2112429570048 is an abundant number, since it is smaller than the sum of its proper divisors (5659651306512).

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

2112429570048 is a wasteful number, since it uses less digits than its factorization.

2112429570048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15352 (or 15316 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The spelling of 2112429570048 in words is "two trillion, one hundred twelve billion, four hundred twenty-nine million, five hundred seventy thousand, forty-eight".