32134301012000 has 192 divisors, whose sum is σ = 86142982947840. Its totient is φ = 11683657728000.

The previous prime is 32134301011961. The next prime is 32134301012057. The reversal of 32134301012000 is 21010343123.

It is a super-2 number, since 2×32134301012000² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 364583936 + ... + 364672064.

It is an arithmetic number, because the mean of its divisors is an integer number (448661369520).

Almost surely, 2^{32134301012000} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 32134301012000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43071491473920).

32134301012000 is an abundant number, since it is smaller than the sum of its proper divisors (54008681935840).

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

32134301012000 is a wasteful number, since it uses less digits than its factorization.

32134301012000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96452 (or 96434 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 32134301012000 its reverse (21010343123), we get a palindrome (32155311355123).

The spelling of 32134301012000 in words is "thirty-two trillion, one hundred thirty-four billion, three hundred one million, twelve thousand".