1212807828960 has 1152 divisors, whose sum is σ = 5302377400320. Its totient is φ = 254925398016.

The previous prime is 1212807828941. The next prime is 1212807828961. The reversal of 1212807828960 is 698287082121.

1212807828960 is a `hidden beast` number, since 1 + 21 + 280 + 7 + 8 + 289 + 60 = 666.

It is a super-2 number, since 2×1212807828960² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 1212807828897 and 1212807828906.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1212807828961) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1319703381 + ... + 1319704299.

It is an arithmetic number, because the mean of its divisors is an integer number (4602758160).

Almost surely, 2^{1212807828960} is an apocalyptic number.

1212807828960 is a gapful number since it is divisible by the number (10) 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 1212807828960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2651188700160).

1212807828960 is an abundant number, since it is smaller than the sum of its proper divisors (4089569571360).

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

1212807828960 is a wasteful number, since it uses less digits than its factorization.

1212807828960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1342 (or 1322 counting only the distinct ones).

The product of its (nonzero) digits is 1548288, while the sum is 54.

The spelling of 1212807828960 in words is "one trillion, two hundred twelve billion, eight hundred seven million, eight hundred twenty-eight thousand, nine hundred sixty".