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2125335411120 = 2435192323112833
BaseRepresentation
bin11110111011010111110…
…111001011100110110000
321112011212021112102120210
4132323113313023212300
5234310141331123440
64304210545504120
7306356535630645
oct36732767134660
97464767472523
102125335411120
1174a393483289
122a3aa2642040
13125558c2602c
1474c1c647dcc
153a441590a80
hex1eed7dcb9b0

2125335411120 has 480 divisors, whose sum is σ = 7275829317120. Its totient is φ = 511750103040.

The previous prime is 2125335411113. The next prime is 2125335411131. The reversal of 2125335411120 is 211145335212.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 750205224 + ... + 750208056.

It is an arithmetic number, because the mean of its divisors is an integer number (15157977744).

Almost surely, 22125335411120 is an apocalyptic number.

2125335411120 is a gapful number since it is divisible by the number (20) 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 2125335411120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3637914658560).

2125335411120 is an abundant number, since it is smaller than the sum of its proper divisors (5150493906000).

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

2125335411120 is a wasteful number, since it uses less digits than its factorization.

2125335411120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3225 (or 3196 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 30.

The spelling of 2125335411120 in words is "two trillion, one hundred twenty-five billion, three hundred thirty-five million, four hundred eleven thousand, one hundred twenty".