212542153120 has 288 divisors, whose sum is σ = 561365516880. Its totient is φ = 75977932800.

The previous prime is 212542153111. The next prime is 212542153121. The reversal of 212542153120 is 21351245212.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 42893723664 + 169648429456 = 207108^2 + 411884^2 .

It is not an unprimeable number, because it can be changed into a prime (212542153121) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 504850510 + ... + 504850930.

Almost surely, 2^212542153120 is an apocalyptic number.

212542153120 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 212542153120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (280682758440).

212542153120 is an abundant number, since it is smaller than the sum of its proper divisors (348823363760).

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

212542153120 is a wasteful number, since it uses less digits than its factorization.

212542153120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 840 (or 821 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 28.

Adding to 212542153120 its reverse (21351245212), we get a palindrome (233893398332).

The spelling of 212542153120 in words is "two hundred twelve billion, five hundred forty-two million, one hundred fifty-three thousand, one hundred twenty".