1221264548352 has 480 divisors, whose sum is σ = 3811400626176. Its totient is φ = 375354777600.

The previous prime is 1221264548333. The next prime is 1221264548359. The reversal of 1221264548352 is 2538454621221.

1221264548352 is a `hidden beast` number, since 1 + 2 + 2 + 12 + 64 + 548 + 35 + 2 = 666.

It is a super-2 number, since 2×1221264548352² (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1221264548298 and 1221264548307.

It is not an unprimeable number, because it can be changed into a prime (1221264548359) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1087501263 + ... + 1087502385.

Almost surely, 2^{1221264548352} is an apocalyptic number.

1221264548352 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 1221264548352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1905700313088).

1221264548352 is an abundant number, since it is smaller than the sum of its proper divisors (2590136077824).

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

1221264548352 is a wasteful number, since it uses less digits than its factorization.

1221264548352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1532 (or 1513 counting only the distinct ones).

The product of its digits is 921600, while the sum is 45.

The spelling of 1221264548352 in words is "one trillion, two hundred twenty-one billion, two hundred sixty-four million, five hundred forty-eight thousand, three hundred fifty-two".