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1252152000000 = 293356111731
BaseRepresentation
bin10010001110001010000…
…100110011111000000000
311102201000121220012122000
4102032022010303320000
5131003401403000000
62355121454544000
7156315331250166
oct22161204637000
94381017805560
101252152000000
11443042184640
12182813208000
13911011510c5
144486699d236
152288846a000
hex1238a133e00

1252152000000 has 2240 divisors, whose sum is σ = 5524129290240. Its totient is φ = 276480000000.

The previous prime is 1252151999929. The next prime is 1252152000023. The reversal of 1252152000000 is 2512521.

1252152000000 is a `hidden beast` number, since 125 + 21 + 520 + 0 + 0 + 0 + 0 + 0 = 666.

It is a super-2 number, since 2×12521520000002 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 40391999985 + ... + 40392000015.

Almost surely, 21252152000000 is an apocalyptic number.

1252152000000 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 1252152000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2762064645120).

1252152000000 is an abundant number, since it is smaller than the sum of its proper divisors (4271977290240).

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

1252152000000 is an frugal number, since it uses more digits than its factorization.

1252152000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116 (or 69 counting only the distinct ones).

The product of its (nonzero) digits is 200, while the sum is 18.

Adding to 1252152000000 its reverse (2512521), we get a palindrome (1252154512521).

The spelling of 1252152000000 in words is "one trillion, two hundred fifty-two billion, one hundred fifty-two million", and thus it is an aban number.