1052123839200 has 1440 divisors, whose sum is σ = 4743380404224. Its totient is φ = 221447208960.

The previous prime is 1052123839187. The next prime is 1052123839211. The reversal of 1052123839200 is 29383212501.

1052123839200 is a `hidden beast` number, since 10 + 5 + 21 + 238 + 392 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a super-2 number, since 2×1052123839200² (a number of 25 digits) contains 22 as substring.

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 239 ways as a sum of consecutive naturals, for example, 362424949 + ... + 362427851.

Almost surely, 2^{1052123839200} is an apocalyptic number.

1052123839200 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 1052123839200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2371690202112).

1052123839200 is an abundant number, since it is smaller than the sum of its proper divisors (3691256565024).

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

1052123839200 is a wasteful number, since it uses less digits than its factorization.

1052123839200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3006 (or 2984 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The spelling of 1052123839200 in words is "one trillion, fifty-two billion, one hundred twenty-three million, eight hundred thirty-nine thousand, two hundred".