2120397242292 has 180 divisors, whose sum is σ = 6468755476260. Its totient is φ = 603890816256.

The previous prime is 2120397242267. The next prime is 2120397242297. The reversal of 2120397242292 is 2922427930212.

2120397242292 is a `hidden beast` number, since 2 + 12 + 0 + 397 + 24 + 229 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 853232774436 + 1267164467856 = 923706^2 + 1125684^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2120397242297) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 4755834 + ... + 5182542.

Almost surely, 2^{2120397242292} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2120397242292, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3234377738130).

2120397242292 is an abundant number, since it is smaller than the sum of its proper divisors (4348358233968).

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

2120397242292 is a wasteful number, since it uses less digits than its factorization.

2120397242292 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 427052 (or 427034 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 2120397242292 in words is "two trillion, one hundred twenty billion, three hundred ninety-seven million, two hundred forty-two thousand, two hundred ninety-two".