212545052000 has 192 divisors, whose sum is σ = 549257200128. Its totient is φ = 80720640000.

The previous prime is 212545051949. The next prime is 212545052009. The reversal of 212545052000 is 250545212.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212545052009) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6555830 + ... + 6588170.

It is an arithmetic number, because the mean of its divisors is an integer number (2860714584).

Almost surely, 2^212545052000 is an apocalyptic number.

212545052000 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 212545052000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (274628600064).

212545052000 is an abundant number, since it is smaller than the sum of its proper divisors (336712148128).

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

212545052000 is a wasteful number, since it uses less digits than its factorization.

212545052000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32450 (or 32432 counting only the distinct ones).

The product of its (nonzero) digits is 4000, while the sum is 26.

Adding to 212545052000 its reverse (250545212), we get a palindrome (212795597212).

The spelling of 212545052000 in words is "two hundred twelve billion, five hundred forty-five million, fifty-two thousand".