2121388282962 has 192 divisors, whose sum is σ = 5223015557760. Its totient is φ = 641368088064.

The previous prime is 2121388282943. The next prime is 2121388282991. The reversal of 2121388282962 is 2692828831212.

2121388282962 is a `hidden beast` number, since 2 + 121 + 388 + 2 + 82 + 9 + 62 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 2121388282899 and 2121388282908.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 173126028 + ... + 173138280.

It is an arithmetic number, because the mean of its divisors is an integer number (27203206030).

Almost surely, 2^{2121388282962} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2121388282962, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2611507778880).

2121388282962 is an abundant number, since it is smaller than the sum of its proper divisors (3101627274798).

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

2121388282962 is a wasteful number, since it uses less digits than its factorization.

2121388282962 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12759 (or 12747 counting only the distinct ones).

The product of its digits is 2654208, while the sum is 54.

The spelling of 2121388282962 in words is "two trillion, one hundred twenty-one billion, three hundred eighty-eight million, two hundred eighty-two thousand, nine hundred sixty-two".