1210266214641 has 243 divisors, whose sum is σ = 2138202407523. Its totient is φ = 659016483840.

The previous prime is 1210266214639. The next prime is 1210266214643. The reversal of 1210266214641 is 1464126620121.

The square root of 1210266214641 is 1100121.

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

1210266214641 is a `hidden beast` number, since 1 + 2 + 1 + 0 + 2 + 6 + 6 + 2 + 1 + 4 + 641 = 666.

It is an interprime number because it is at equal distance from previous prime (1210266214639) and next prime (1210266214643).

It can be written as a sum of positive squares in 13 ways, for example, as 44954600625 + 1165311614016 = 212025^2 + 1079496^2 .

It is not a de Polignac number, because 1210266214641 - 2¹ = 1210266214639 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 1210266214596 and 1210266214605.

It is not an unprimeable number, because it can be changed into a prime (1210266214643) by changing a digit.

It is a polite number, since it can be written in 242 ways as a sum of consecutive naturals, for example, 22835211571 + ... + 22835211623.

Almost surely, 2^{1210266214641} is an apocalyptic number.

1210266214641 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1210266214641 is the 1100121-st square number.

1210266214641 is the 550061-st centered octagonal number.

It is an amenable number.

1210266214641 is a deficient number, since it is larger than the sum of its proper divisors (927936192882).

1210266214641 is a wasteful number, since it uses less digits than its factorization.

1210266214641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 242 (or 121 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

Multiplying 1210266214641 by its sum of digits (36), we get a square (43569583727076 = 6600726²).

The spelling of 1210266214641 in words is "one trillion, two hundred ten billion, two hundred sixty-six million, two hundred fourteen thousand, six hundred forty-one".