212540432142000 has 160 divisors (see below), whose sum is σ = 715022977743360. Its totient is φ = 54213211641600.

The previous prime is 212540432141899. The next prime is 212540432142047. The reversal of 212540432142000 is 241234045212.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 769936030 + ... + 770212029.

It is an arithmetic number, because the mean of its divisors is an integer number (4468893610896).

Almost surely, 2^{212540432142000} is an apocalyptic number.

212540432142000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212540432142000 is an abundant number, since it is smaller than the sum of its proper divisors (502482545601360).

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

212540432142000 is a wasteful number, since it uses less digits than its factorization.

212540432142000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1540148108 (or 1540148092 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 30.

Adding to 212540432142000 its reverse (241234045212), we get a palindrome (212781666187212).

The spelling of 212540432142000 in words is "two hundred twelve trillion, five hundred forty billion, four hundred thirty-two million, one hundred forty-two thousand".