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141121375200 = 25355213192939
BaseRepresentation
bin1000001101101101111…
…1010100101111100000
3111111020222202122100000
42003123133110233200
54303004033001300
6144455200500000
713124055616521
oct2033337245740
9444228678300
10141121375200
1154938378a03
122342531a600
13103cccb8010
146b8a532848
153a0e3cac00
hex20db7d4be0

141121375200 has 864 divisors, whose sum is σ = 585206294400. Its totient is φ = 32898078720.

The previous prime is 141121375189. The next prime is 141121375243. The reversal of 141121375200 is 2573121141.

141121375200 is a `hidden beast` number, since 1 + 4 + 1 + 1 + 2 + 137 + 520 + 0 = 666.

141121375200 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 48015331 + ... + 48018269.

It is an arithmetic number, because the mean of its divisors is an integer number (677322100).

Almost surely, 2141121375200 is an apocalyptic number.

141121375200 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 141121375200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (292603147200).

141121375200 is an abundant number, since it is smaller than the sum of its proper divisors (444084919200).

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

141121375200 is a wasteful number, since it uses less digits than its factorization.

141121375200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3006 (or 2981 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

Adding to 141121375200 its reverse (2573121141), we get a palindrome (143694496341).

The spelling of 141121375200 in words is "one hundred forty-one billion, one hundred twenty-one million, three hundred seventy-five thousand, two hundred".