1210833943641 has 81 divisors (see below), whose sum is σ = 2070840987423. Its totient is φ = 679770131040.

The previous prime is 1210833943573. The next prime is 1210833943691. The reversal of 1210833943641 is 1463493380121.

The square root of 1210833943641 is 1100379.

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

1210833943641 is a `hidden beast` number, since 1 + 210 + 8 + 3 + 394 + 3 + 6 + 41 = 666.

It can be written as a sum of positive squares in only one way, i.e., 39374068041 + 1171459875600 = 198429^2 + 1082340^2 .

It is not a de Polignac number, because 1210833943641 - 2³⁷ = 1073394990169 is a prime.

It is a super-2 number, since 2×1210833943641² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1210833943691) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 1409585070 + ... + 1409585928.

Almost surely, 2^{1210833943641} is an apocalyptic number.

1210833943641 is the 1100379-th square number.

1210833943641 is the 550190-th centered octagonal number.

It is an amenable number.

1210833943641 is a deficient number, since it is larger than the sum of its proper divisors (860007043782).

1210833943641 is an frugal number, since it uses more digits than its factorization.

1210833943641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1860 (or 930 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The spelling of 1210833943641 in words is "one trillion, two hundred ten billion, eight hundred thirty-three million, nine hundred forty-three thousand, six hundred forty-one".