1201435210000 has 225 divisors, whose sum is σ = 2965331345691. Its totient is φ = 471410688000.

The previous prime is 1201435209983. The next prime is 1201435210039. The reversal of 1201435210000 is 125341021.

The square root of 1201435210000 is 1096100.

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

It can be written as a sum of positive squares in 22 ways, for example, as 364898148624 + 836537061376 = 604068^2 + 914624^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 1201435210000.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 10632169944 + ... + 10632170056.

Almost surely, 2^{1201435210000} is an apocalyptic number.

1201435210000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1201435210000 is the 1096100-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1201435210000

1201435210000 is an abundant number, since it is smaller than the sum of its proper divisors (1763896135691).

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

1201435210000 is an frugal number, since it uses more digits than its factorization.

1201435210000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 448 (or 217 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 19.

The spelling of 1201435210000 in words is "one trillion, two hundred one billion, four hundred thirty-five million, two hundred ten thousand".