2141122211412 has 48 divisors (see below), whose sum is σ = 5131401999360. Its totient is φ = 694360570752.

The previous prime is 2141122211359. The next prime is 2141122211447.

2141122211412 is nontrivially palindromic in base 10.

It is a super-3 number, since 3×2141122211412³ (a number of 38 digits) contains 333 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5347458 + ... + 5733894.

It is an arithmetic number, because the mean of its divisors is an integer number (106904208320).

Almost surely, 2^{2141122211412} is an apocalyptic number.

It is an amenable number.

2141122211412 is an abundant number, since it is smaller than the sum of its proper divisors (2990279787948).

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

2141122211412 is a wasteful number, since it uses less digits than its factorization.

2141122211412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 398960 (or 398958 counting only the distinct ones).

The product of its digits is 512, while the sum is 24.

The spelling of 2141122211412 in words is "two trillion, one hundred forty-one billion, one hundred twenty-two million, two hundred eleven thousand, four hundred twelve".