1211455657152 has 336 divisors, whose sum is σ = 3761803500000. Its totient is φ = 370543362048.

The previous prime is 1211455657081. The next prime is 1211455657171. The reversal of 1211455657152 is 2517565541121.

1211455657152 is a `hidden beast` number, since 1 + 2 + 1 + 14 + 5 + 565 + 71 + 5 + 2 = 666.

It is a super-3 number, since 3×1211455657152³ (a number of 37 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 1211455657098 and 1211455657107.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1304042224 + ... + 1304043152.

It is an arithmetic number, because the mean of its divisors is an integer number (11195843750).

Almost surely, 2^{1211455657152} is an apocalyptic number.

1211455657152 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 1211455657152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1880901750000).

1211455657152 is an abundant number, since it is smaller than the sum of its proper divisors (2550347842848).

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

1211455657152 is a wasteful number, since it uses less digits than its factorization.

1211455657152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1808 (or 1795 counting only the distinct ones).

The product of its digits is 420000, while the sum is 45.

The spelling of 1211455657152 in words is "one trillion, two hundred eleven billion, four hundred fifty-five million, six hundred fifty-seven thousand, one hundred fifty-two".