1210461014772 has 192 divisors, whose sum is σ = 3231664128000. Its totient is φ = 391626115200.

The previous prime is 1210461014767. The next prime is 1210461014803. The reversal of 1210461014772 is 2774101640121.

1210461014772 is a `hidden beast` number, since 1 + 21 + 0 + 4 + 610 + 14 + 7 + 7 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 834224647 + ... + 834226097.

It is an arithmetic number, because the mean of its divisors is an integer number (16831584000).

Almost surely, 2^{1210461014772} is an apocalyptic number.

1210461014772 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1210461014772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1615832064000).

1210461014772 is an abundant number, since it is smaller than the sum of its proper divisors (2021203113228).

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

1210461014772 is a wasteful number, since it uses less digits than its factorization.

1210461014772 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2763 (or 2755 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 36.

Adding to 1210461014772 its reverse (2774101640121), we get a palindrome (3984562654893).

The spelling of 1210461014772 in words is "one trillion, two hundred ten billion, four hundred sixty-one million, fourteen thousand, seven hundred seventy-two".