212963758603120 has 160 divisors (see below), whose sum is σ = 567583340341248. Its totient is φ = 72795789133824.

The previous prime is 212963758603033. The next prime is 212963758603129. The reversal of 212963758603120 is 21306857369212.

It is a super-3 number, since 3×212963758603120³ (a number of 44 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212963758603129) 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, 1501439724 + ... + 1501581556.

Almost surely, 2^{212963758603120} is an apocalyptic number.

212963758603120 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 212963758603120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (283791670170624).

212963758603120 is an abundant number, since it is smaller than the sum of its proper divisors (354619581738128).

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

212963758603120 is a wasteful number, since it uses less digits than its factorization.

212963758603120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149927 (or 149921 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 55.

The spelling of 212963758603120 in words is "two hundred twelve trillion, nine hundred sixty-three billion, seven hundred fifty-eight million, six hundred three thousand, one hundred twenty".