103212004212 has 288 divisors, whose sum is σ = 297906336000. Its totient is φ = 29989225728.

The previous prime is 103212004157. The next prime is 103212004213. The reversal of 103212004212 is 212400212301.

It is a happy number.

103212004212 is a `hidden beast` number, since 10 + 32 + 1 + 200 + 421 + 2 = 666.

It is a super-3 number, since 3×103212004212³ (a number of 34 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103212004213) 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, 383687614 + ... + 383687882.

It is an arithmetic number, because the mean of its divisors is an integer number (1034397000).

Almost surely, 2^103212004212 is an apocalyptic number.

103212004212 is a gapful number since it is divisible by the number (12) 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 103212004212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148953168000).

103212004212 is an abundant number, since it is smaller than the sum of its proper divisors (194694331788).

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

103212004212 is a wasteful number, since it uses less digits than its factorization.

103212004212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 408 (or 345 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 103212004212 its reverse (212400212301), we get a palindrome (315612216513).

The spelling of 103212004212 in words is "one hundred three billion, two hundred twelve million, four thousand, two hundred twelve".