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125275125420 = 22335569407717
BaseRepresentation
bin111010010101011111…
…0101011011010101100
3102222100122020202012000
41310222332223122230
54023030413003140
6133314532412300
712023301665544
oct1645276533254
9388318222160
10125275125420
11491465a6a05
1220342477090
13ba76044963
1460c5b84324
1533d3155a30
hex1d2afab6ac

125275125420 has 96 divisors (see below), whose sum is σ = 390430756800. Its totient is φ = 33347907072.

The previous prime is 125275125413. The next prime is 125275125421. The reversal of 125275125420 is 24521572521.

125275125420 is a `hidden beast` number, since 1 + 2 + 527 + 5 + 125 + 4 + 2 + 0 = 666.

125275125420 is digitally balanced in base 7, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (125275125421) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 103402 + ... + 511118.

It is an arithmetic number, because the mean of its divisors is an integer number (4066987050).

Almost surely, 2125275125420 is an apocalyptic number.

125275125420 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 125275125420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195215378400).

125275125420 is an abundant number, since it is smaller than the sum of its proper divisors (265155631380).

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

125275125420 is a wasteful number, since it uses less digits than its factorization.

125275125420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 408304 (or 408296 counting only the distinct ones).

The product of its (nonzero) digits is 56000, while the sum is 36.

Adding to 125275125420 its reverse (24521572521), we get a palindrome (149796697941).

The spelling of 125275125420 in words is "one hundred twenty-five billion, two hundred seventy-five million, one hundred twenty-five thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 180 270 540 569 1138 1707 2276 2845 3414 5121 5690 6828 8535 10242 11380 15363 17070 20484 25605 30726 34140 51210 61452 76815 102420 153630 307260 407717 815434 1223151 1630868 2038585 2446302 3669453 4077170 4892604 6115755 7338906 8154340 11008359 12231510 14677812 18347265 22016718 24463020 36694530 44033436 55041795 73389060 110083590 220167180 231990973 463981946 695972919 927963892 1159954865 1391945838 2087918757 2319909730 2783891676 3479864595 4175837514 4639819460 6263756271 6959729190 8351675028 10439593785 12527512542 13919458380 20879187570 25055025084 31318781355 41758375140 62637562710 125275125420