212172690455040 has 960 divisors, whose sum is σ = 818773200875520. Its totient is φ = 45908318453760.

The previous prime is 212172690455039. The next prime is 212172690455041. The reversal of 212172690455040 is 40554096271212.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (212172690455039) and next prime (212172690455041).

It is a tau number, because it is divible by the number of its divisors (960).

It is a super-2 number, since 2×212172690455040² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (212172690455041) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 30488959081 + ... + 30488966039.

It is an arithmetic number, because the mean of its divisors is an integer number (852888750912).

Almost surely, 2^{212172690455040} is an apocalyptic number.

212172690455040 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 212172690455040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (409386600437760).

212172690455040 is an abundant number, since it is smaller than the sum of its proper divisors (606600510420480).

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

212172690455040 is a wasteful number, since it uses less digits than its factorization.

212172690455040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8601 (or 8566 counting only the distinct ones).

The product of its (nonzero) digits is 1209600, while the sum is 48.

The spelling of 212172690455040 in words is "two hundred twelve trillion, one hundred seventy-two billion, six hundred ninety million, four hundred fifty-five thousand, forty".