132221012001000 has 256 divisors, whose sum is σ = 444549609504000. Its totient is φ = 32525684352000.

The previous prime is 132221012000983. The next prime is 132221012001047. The reversal of 132221012001000 is 100210122231.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 59316655 + ... + 61505345.

It is an arithmetic number, because the mean of its divisors is an integer number (1736521912125).

Almost surely, 2^{132221012001000} is an apocalyptic number.

132221012001000 is a gapful number since it is divisible by the number (10) 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 132221012001000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222274804752000).

132221012001000 is an abundant number, since it is smaller than the sum of its proper divisors (312328597503000).

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

132221012001000 is a wasteful number, since it uses less digits than its factorization.

132221012001000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2190277 (or 2190263 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 132221012001000 its reverse (100210122231), we get a palindrome (132321222123231).

The spelling of 132221012001000 in words is "one hundred thirty-two trillion, two hundred twenty-one billion, twelve million, one thousand".