212677355000 has 320 divisors, whose sum is σ = 585645033600. Its totient is φ = 71547840000.

The previous prime is 212677354969. The next prime is 212677355021. The reversal of 212677355000 is 553776212.

212677355000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 44932634 + ... + 44937366.

It is an arithmetic number, because the mean of its divisors is an integer number (1830140730).

Almost surely, 2^212677355000 is an apocalyptic number.

212677355000 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 212677355000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (292822516800).

212677355000 is an abundant number, since it is smaller than the sum of its proper divisors (372967678600).

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

212677355000 is a wasteful number, since it uses less digits than its factorization.

212677355000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4832 (or 4813 counting only the distinct ones).

The product of its (nonzero) digits is 88200, while the sum is 38.

The spelling of 212677355000 in words is "two hundred twelve billion, six hundred seventy-seven million, three hundred fifty-five thousand".