212954742 has 192 divisors, whose sum is σ = 634023936. Its totient is φ = 49870080.

The previous prime is 212954741. The next prime is 212954747. The reversal of 212954742 is 247459212.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

Its product of digits (40320) is a multiple of the sum of its prime factors (315).

It is a junction number, because it is equal to n+sod(n) for n = 212954697 and 212954706.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212954741) 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, 954843 + ... + 955065.

It is an arithmetic number, because the mean of its divisors is an integer number (3302208).

Almost surely, 2^212954742 is an apocalyptic number.

212954742 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 212954742, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (317011968).

212954742 is an abundant number, since it is smaller than the sum of its proper divisors (421069194).

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

212954742 is a wasteful number, since it uses less digits than its factorization.

212954742 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 315 (or 312 counting only the distinct ones).

The product of its digits is 40320, while the sum is 36.

The square root of 212954742 is about 14592.9689234234. The cubic root of 212954742 is about 597.1669608694.

The spelling of 212954742 in words is "two hundred twelve million, nine hundred fifty-four thousand, seven hundred forty-two".