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412012125 = 32537113463
BaseRepresentation
bin11000100011101…
…100111001011101
31001201021101101100
4120203230321131
51320433342000
6104514503313
713132021350
oct3043547135
91051241340
10412012125
111a162a898
12b5b94b39
1367488c75
143ca10297
1526287a00
hex188ece5d

412012125 has 96 divisors (see below), whose sum is σ = 858184704. Its totient is φ = 186278400.

The previous prime is 412012123. The next prime is 412012127. The reversal of 412012125 is 521210214.

It is an interprime number because it is at equal distance from previous prime (412012123) and next prime (412012127).

It is not a de Polignac number, because 412012125 - 21 = 412012123 is a prime.

It is a super-2 number, since 2×4120121252 = 339507982294031250, which contains 22 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 412012098 and 412012107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (412012121) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 889644 + ... + 890106.

It is an arithmetic number, because the mean of its divisors is an integer number (8939424).

Almost surely, 2412012125 is an apocalyptic number.

412012125 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

412012125 is an abundant number, since it is smaller than the sum of its proper divisors (446172579).

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

412012125 is a wasteful number, since it uses less digits than its factorization.

412012125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 604 (or 591 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 412012125 is about 20298.0818059244. The cubic root of 412012125 is about 744.1091855453.

Adding to 412012125 its reverse (521210214), we get a palindrome (933222339).

The spelling of 412012125 in words is "four hundred twelve million, twelve thousand, one hundred twenty-five".

Divisors: 1 3 5 7 9 15 21 25 35 45 63 75 105 113 125 175 225 315 339 375 463 525 565 791 875 1017 1125 1389 1575 1695 2315 2373 2625 2825 3241 3955 4167 5085 6945 7119 7875 8475 9723 11575 11865 14125 16205 19775 20835 25425 29169 34725 35595 42375 48615 52319 57875 59325 81025 98875 104175 127125 145845 156957 173625 177975 243075 261595 296625 366233 405125 470871 520875 729225 784785 889875 1098699 1215375 1307975 1831165 2354355 3296097 3646125 3923925 5493495 6539875 9155825 11771775 16480485 19619625 27467475 45779125 58858875 82402425 137337375 412012125