145412244120000 has 840 divisors, whose sum is σ = 567921211038720. Its totient is φ = 32539752960000.

The previous prime is 145412244119941. The next prime is 145412244120001. The reversal of 145412244120000 is 21442214541.

It is a super-2 number, since 2×145412244120000² (a number of 29 digits) contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 145412244120000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145412244120001) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 222754081 + ... + 223405919.

It is an arithmetic number, because the mean of its divisors is an integer number (676096679808).

Almost surely, 2^{145412244120000} is an apocalyptic number.

145412244120000 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 145412244120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (283960605519360).

145412244120000 is an abundant number, since it is smaller than the sum of its proper divisors (422508966918720).

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

145412244120000 is a wasteful number, since it uses less digits than its factorization.

145412244120000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 651911 (or 651873 counting only the distinct ones).

The product of its (nonzero) digits is 10240, while the sum is 30.

Adding to 145412244120000 its reverse (21442214541), we get a palindrome (145433686334541).

The spelling of 145412244120000 in words is "one hundred forty-five trillion, four hundred twelve billion, two hundred forty-four million, one hundred twenty thousand".