21153335412000 has 384 divisors, whose sum is σ = 75856327642368. Its totient is φ = 5110569984000.

The previous prime is 21153335411977. The next prime is 21153335412019. The reversal of 21153335412000 is 21453335112.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 38402532 + ... + 38949468.

It is an arithmetic number, because the mean of its divisors is an integer number (197542519902).

Almost surely, 2^{21153335412000} is an apocalyptic number.

21153335412000 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 21153335412000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37928163821184).

21153335412000 is an abundant number, since it is smaller than the sum of its proper divisors (54702992230368).

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

21153335412000 is a wasteful number, since it uses less digits than its factorization.

21153335412000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 547269 (or 547251 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 30.

Adding to 21153335412000 its reverse (21453335112), we get a palindrome (21174788747112).

The spelling of 21153335412000 in words is "twenty-one trillion, one hundred fifty-three billion, three hundred thirty-five million, four hundred twelve thousand".