212119272288 has 1152 divisors, whose sum is σ = 828880625664. Its totient is φ = 51732172800.

The previous prime is 212119272271. The next prime is 212119272307. The reversal of 212119272288 is 882272911212.

212119272288 is a `hidden beast` number, since 2 + 1 + 211 + 92 + 72 + 288 = 666.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1005304503 + ... + 1005304713.

It is an arithmetic number, because the mean of its divisors is an integer number (719514432).

Almost surely, 2^212119272288 is an apocalyptic number.

212119272288 is a gapful number since it is divisible by the number (28) 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 212119272288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (414440312832).

212119272288 is an abundant number, since it is smaller than the sum of its proper divisors (616761353376).

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

212119272288 is a wasteful number, since it uses less digits than its factorization.

212119272288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 350 (or 330 counting only the distinct ones).

The product of its digits is 129024, while the sum is 45.

The spelling of 212119272288 in words is "two hundred twelve billion, one hundred nineteen million, two hundred seventy-two thousand, two hundred eighty-eight".