211032141230112 has 48 divisors (see below), whose sum is σ = 554055729696000. Its totient is φ = 70331811017472.

The previous prime is 211032141230023. The next prime is 211032141230167.

211032141230112 is nontrivially palindromic in base 10.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×211032141230112² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 190633648 + ... + 191737455.

It is an arithmetic number, because the mean of its divisors is an integer number (11542827702000).

Almost surely, 2^{211032141230112} is an apocalyptic number.

It is an amenable number.

211032141230112 is an abundant number, since it is smaller than the sum of its proper divisors (343023588465888).

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

211032141230112 is a wasteful number, since it uses less digits than its factorization.

211032141230112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 382376865 (or 382376857 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

The spelling of 211032141230112 in words is "two hundred eleven trillion, thirty-two billion, one hundred forty-one million, two hundred thirty thousand, one hundred twelve".