1000212232032 has 72 divisors (see below), whose sum is σ = 3063149972064. Its totient is φ = 307757608704.

The previous prime is 1000212232031. The next prime is 1000212232091. The reversal of 1000212232032 is 2302322120001.

1000212232032 is a `hidden beast` number, since 100 + 0 + 212 + 2 + 320 + 32 = 666.

1000212232032 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (72).

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

It is a junction number, because it is equal to n+sod(n) for n = 1000212231996 and 1000212232014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1000212232031) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 133571608 + ... + 133579095.

It is an arithmetic number, because the mean of its divisors is an integer number (42543749612).

Almost surely, 2^{1000212232032} is an apocalyptic number.

1000212232032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1000212232032 is an abundant number, since it is smaller than the sum of its proper divisors (2062937740032).

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

1000212232032 is a wasteful number, since it uses less digits than its factorization.

1000212232032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 267150732 (or 267150721 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 1000212232032 its reverse (2302322120001), we get a palindrome (3302534352033).

The spelling of 1000212232032 in words is "one trillion, two hundred twelve million, two hundred thirty-two thousand, thirty-two".