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12353052400000 = 2755133317177
BaseRepresentation
bin1011001111000010101101…
…0011001101100110000000
31121201221101110110021210021
42303300223103031212000
53104343022403300000
642134525224143224
72413323103625104
oct263605323154600
947657343407707
1012353052400000
113a3299a044484
121476130307b14
136b7b7078b350
14309c689b7904
151664e7e1911a
hexb3c2b4cd980

12353052400000 has 384 divisors, whose sum is σ = 33230891524320. Its totient is φ = 4546713600000.

The previous prime is 12353052399983. The next prime is 12353052400001. The reversal of 12353052400000 is 425035321.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12353052400001) 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, 1721196412 + ... + 1721203588.

Almost surely, 212353052400000 is an apocalyptic number.

12353052400000 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 12353052400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16615445762160).

12353052400000 is an abundant number, since it is smaller than the sum of its proper divisors (20877839124320).

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

12353052400000 is an frugal number, since it uses more digits than its factorization.

12353052400000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7560 (or 7528 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 25.

Adding to 12353052400000 its reverse (425035321), we get a palindrome (12353477435321).

The spelling of 12353052400000 in words is "twelve trillion, three hundred fifty-three billion, fifty-two million, four hundred thousand".