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12417402000 = 2435310212027
BaseRepresentation
bin10111001000010001…
…01000010010010000
31012001101112101020210
423210020220102100
5200412323331000
65412100004120
7616500114123
oct134410502220
935041471223
1012417402000
1152a2332a03
1224a6690640
13122b789b63
1485b2323ba
154ca220350
hex2e4228490

12417402000 has 160 divisors (see below), whose sum is σ = 40092683904. Its totient is φ = 3306432000.

The previous prime is 12417401951. The next prime is 12417402001. The reversal of 12417402000 is 20471421.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (12417402001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6124987 + ... + 6127013.

Almost surely, 212417402000 is an apocalyptic number.

12417402000 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 12417402000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20046341952).

12417402000 is an abundant number, since it is smaller than the sum of its proper divisors (27675281904).

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

12417402000 is a wasteful number, since it uses less digits than its factorization.

12417402000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3074 (or 3058 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 21.

Adding to 12417402000 its reverse (20471421), we get a palindrome (12437873421).

The spelling of 12417402000 in words is "twelve billion, four hundred seventeen million, four hundred two thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 125 150 200 240 250 300 375 400 500 600 750 1000 1021 1200 1500 2000 2027 2042 3000 3063 4054 4084 5105 6000 6081 6126 8108 8168 10135 10210 12162 12252 15315 16216 16336 20270 20420 24324 24504 25525 30405 30630 32432 40540 40840 48648 49008 50675 51050 60810 61260 76575 81080 81680 97296 101350 102100 121620 122520 127625 152025 153150 162160 202700 204200 243240 245040 253375 255250 304050 306300 382875 405400 408400 486480 506750 510500 608100 612600 760125 765750 810800 1013500 1021000 1216200 1225200 1520250 1531500 2027000 2042000 2069567 2432400 3040500 3063000 4054000 4139134 6081000 6126000 6208701 8278268 10347835 12162000 12417402 16556536 20695670 24834804 31043505 33113072 41391340 49669608 51739175 62087010 82782680 99339216 103478350 124174020 155217525 165565360 206956700 248348040 258695875 310435050 413913400 496696080 517391750 620870100 776087625 827826800 1034783500 1241740200 1552175250 2069567000 2483480400 3104350500 4139134000 6208701000 12417402000