144020122400000 has 1728 divisors, whose sum is σ = 471496094318592. Its totient is φ = 42591744000000.

The previous prime is 144020122399949. The next prime is 144020122400039. The reversal of 144020122400000 is 4221020441.

It is a super-2 number, since 2×144020122400000² (a number of 29 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 101208799289 + ... + 101208800711.

It is an arithmetic number, because the mean of its divisors is an integer number (272856536064).

Almost surely, 2^{144020122400000} is an apocalyptic number.

144020122400000 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 144020122400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235748047159296).

144020122400000 is an abundant number, since it is smaller than the sum of its proper divisors (327475971918592).

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

144020122400000 is an equidigital number, since it uses as much as digits as its factorization.

144020122400000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1566 (or 1532 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

Adding to 144020122400000 its reverse (4221020441), we get a palindrome (144024343420441).

The spelling of 144020122400000 in words is "one hundred forty-four trillion, twenty billion, one hundred twenty-two million, four hundred thousand".