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12010010080 = 255314356311
BaseRepresentation
bin10110010111101101…
…00011010111100000
31010222222221201121011
423023312203113200
5144044030310310
65303424110304
7603422254435
oct131366432740
933888851534
1012010010080
115103379372
1223b2165394
13119525ab53
1481d0a5b8c
154a459b78a
hex2cbda35e0

12010010080 has 96 divisors (see below), whose sum is σ = 29970597888. Its totient is φ = 4540838400.

The previous prime is 12010009967. The next prime is 12010010081. The reversal of 12010010080 is 8001001021.

It is a self number, because there is not a number n which added to its sum of digits gives 12010010080.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12010010081) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 185125 + ... + 241435.

It is an arithmetic number, because the mean of its divisors is an integer number (312193728).

Almost surely, 212010010080 is an apocalyptic number.

12010010080 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 12010010080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14985298944).

12010010080 is an abundant number, since it is smaller than the sum of its proper divisors (17960587808).

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

12010010080 is a wasteful number, since it uses less digits than its factorization.

12010010080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56400 (or 56392 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

The spelling of 12010010080 in words is "twelve billion, ten million, ten thousand, eighty".

Divisors: 1 2 4 5 8 10 16 20 31 32 40 43 62 80 86 124 155 160 172 215 248 310 344 430 496 620 688 860 992 1240 1333 1376 1720 2480 2666 3440 4960 5332 6665 6880 10664 13330 21328 26660 42656 53320 56311 106640 112622 213280 225244 281555 450488 563110 900976 1126220 1745641 1801952 2252440 2421373 3491282 4504880 4842746 6982564 8728205 9009760 9685492 12106865 13965128 17456410 19370984 24213730 27930256 34912820 38741968 48427460 55860512 69825640 75062563 77483936 96854920 139651280 150125126 193709840 279302560 300250252 375312815 387419680 600500504 750625630 1201001008 1501251260 2402002016 3002502520 6005005040 12010010080