1201338755136 has 315 divisors, whose sum is σ = 3859446314493. Its totient is φ = 369327029760.

The previous prime is 1201338755083. The next prime is 1201338755143. The reversal of 1201338755136 is 6315578331021.

The square root of 1201338755136 is 1096056.

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

1201338755136 is a `hidden beast` number, since 1 + 2 + 0 + 13 + 3 + 87 + 551 + 3 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 177712833600 + 1023625921536 = 421560^2 + 1011744^2 .

It is a junction number, because it is equal to n+sod(n) for n = 1201338755091 and 1201338755100.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 1025907831 + ... + 1025909001.

Almost surely, 2^{1201338755136} is an apocalyptic number.

1201338755136 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

1201338755136 is the 1096056-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1201338755136

1201338755136 is an abundant number, since it is smaller than the sum of its proper divisors (2658107559357).

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

1201338755136 is an frugal number, since it uses more digits than its factorization.

1201338755136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2392 (or 1189 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 45.

The spelling of 1201338755136 in words is "one trillion, two hundred one billion, three hundred thirty-eight million, seven hundred fifty-five thousand, one hundred thirty-six".