212262001020 has 144 divisors (see below), whose sum is σ = 682952044320. Its totient is φ = 53178544128.

The previous prime is 212262001001. The next prime is 212262001051. The reversal of 212262001020 is 20100262212.

212262001020 is a `hidden beast` number, since 2 + 1 + 22 + 620 + 0 + 1 + 0 + 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 = 212262000984 and 212262001002.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1661176 + ... + 1784384.

It is an arithmetic number, because the mean of its divisors is an integer number (4742722530).

Almost surely, 2^212262001020 is an apocalyptic number.

212262001020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212262001020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (341476022160).

212262001020 is an abundant number, since it is smaller than the sum of its proper divisors (470690043300).

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

212262001020 is a wasteful number, since it uses less digits than its factorization.

212262001020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123804 (or 123799 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 212262001020 its reverse (20100262212), we get a palindrome (232362263232).

The spelling of 212262001020 in words is "two hundred twelve billion, two hundred sixty-two million, one thousand, twenty".