1203435328144 has 225 divisors, whose sum is σ = 2831806638843. Its totient is φ = 495393067008.

The previous prime is 1203435328141. The next prime is 1203435328211. The reversal of 1203435328144 is 4418235343021.

The square root of 1203435328144 is 1097012.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 71577651600 + 1131857676544 = 267540^2 + 1063888^2 .

It is a junction number, because it is equal to n+sod(n) for n = 1203435328097 and 1203435328106.

It is not an unprimeable number, because it can be changed into a prime (1203435328141) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 6235416112 + ... + 6235416304.

Almost surely, 2^{1203435328144} is an apocalyptic number.

1203435328144 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

1203435328144 is the 1097012-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1203435328144

1203435328144 is an abundant number, since it is smaller than the sum of its proper divisors (1628371310699).

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

1203435328144 is an frugal number, since it uses more digits than its factorization.

1203435328144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 480 (or 231 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 40.

The spelling of 1203435328144 in words is "one trillion, two hundred three billion, four hundred thirty-five million, three hundred twenty-eight thousand, one hundred forty-four".