212142121020 has 72 divisors (see below), whose sum is σ = 643909279104. Its totient is φ = 56535055488.

The previous prime is 212142120961. The next prime is 212142121021. The reversal of 212142121020 is 20121241212.

212142121020 is a `hidden beast` number, since 2 + 12 + 1 + 421 + 210 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 212142120984 and 212142121002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212142121021) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 93999 + ... + 658118.

It is an arithmetic number, because the mean of its divisors is an integer number (8943184432).

Almost surely, 2^212142121020 is an apocalyptic number.

212142121020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212142121020 is an abundant number, since it is smaller than the sum of its proper divisors (431767158084).

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

212142121020 is a wasteful number, since it uses less digits than its factorization.

212142121020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 753699 (or 753694 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 212142121020 its reverse (20121241212), we get a palindrome (232263362232).

The spelling of 212142121020 in words is "two hundred twelve billion, one hundred forty-two million, one hundred twenty-one thousand, twenty".