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12520370400 = 253526777863
BaseRepresentation
bin10111010100100010…
…11011000011100000
31012022120021201100020
423222101123003200
5201120203323100
65430214553440
7622160251416
oct135221330340
935276251306
1012520370400
11534547165a
122515068880
131246bcc7c5
1486ab972b6
154d42ae5a0
hex2ea45b0e0

12520370400 has 144 divisors (see below), whose sum is σ = 41362602624. Its totient is φ = 3288890880.

The previous prime is 12520370389. The next prime is 12520370417. The reversal of 12520370400 is 407302521.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 121869 + ... + 199731.

It is an arithmetic number, because the mean of its divisors is an integer number (287240296).

Almost surely, 212520370400 is an apocalyptic number.

12520370400 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 12520370400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20681301312).

12520370400 is an abundant number, since it is smaller than the sum of its proper divisors (28842232224).

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

12520370400 is a wasteful number, since it uses less digits than its factorization.

12520370400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77953 (or 77940 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 24.

Adding to 12520370400 its reverse (407302521), we get a palindrome (12927672921).

The spelling of 12520370400 in words is "twelve billion, five hundred twenty million, three hundred seventy thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 67 75 80 96 100 120 134 150 160 200 201 240 268 300 335 400 402 480 536 600 670 800 804 1005 1072 1200 1340 1608 1675 2010 2144 2400 2680 3216 3350 4020 5025 5360 6432 6700 8040 10050 10720 13400 16080 20100 26800 32160 40200 53600 77863 80400 155726 160800 233589 311452 389315 467178 622904 778630 934356 1167945 1245808 1557260 1868712 1946575 2335890 2491616 3114520 3737424 3893150 4671780 5216821 5839725 6229040 7474848 7786300 9343560 10433642 11679450 12458080 15572600 15650463 18687120 20867284 23358900 26084105 31145200 31300926 37374240 41734568 46717800 52168210 62290400 62601852 78252315 83469136 93435600 104336420 125203704 130420525 156504630 166938272 186871200 208672840 250407408 260841050 313009260 391261575 417345680 500814816 521682100 626018520 782523150 834691360 1043364200 1252037040 1565046300 2086728400 2504074080 3130092600 4173456800 6260185200 12520370400