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12103220400 = 2435219530843
BaseRepresentation
bin10110100010110100…
…00111110010110000
31011020111100022010020
423101122013302300
5144241411023100
65320554003440
7605633450565
oct132132076260
934214308106
1012103220400
115150a52697
122419416580
1311ab66509b
1482b60a86c
154ac85e5a0
hex2d1687cb0

12103220400 has 120 divisors (see below), whose sum is σ = 40811286720. Its totient is φ = 3057649920.

The previous prime is 12103220387. The next prime is 12103220407. The reversal of 12103220400 is 402230121.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 12103220400.

It is not an unprimeable number, because it can be changed into a prime (12103220407) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 242622 + ... + 288221.

It is an arithmetic number, because the mean of its divisors is an integer number (340094056).

Almost surely, 212103220400 is an apocalyptic number.

12103220400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12103220400 is an abundant number, since it is smaller than the sum of its proper divisors (28708066320).

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

12103220400 is a wasteful number, since it uses less digits than its factorization.

12103220400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 530883 (or 530872 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

Adding to 12103220400 its reverse (402230121), we get a palindrome (12505450521).

The spelling of 12103220400 in words is "twelve billion, one hundred three million, two hundred twenty thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 19 20 24 25 30 38 40 48 50 57 60 75 76 80 95 100 114 120 150 152 190 200 228 240 285 300 304 380 400 456 475 570 600 760 912 950 1140 1200 1425 1520 1900 2280 2850 3800 4560 5700 7600 11400 22800 530843 1061686 1592529 2123372 2654215 3185058 4246744 5308430 6370116 7962645 8493488 10086017 10616860 12740232 13271075 15925290 20172034 21233720 25480464 26542150 30258051 31850580 39813225 40344068 42467440 50430085 53084300 60516102 63701160 79626450 80688136 100860170 106168600 121032204 127402320 151290255 159252900 161376272 201720340 212337200 242064408 252150425 302580510 318505800 403440680 484128816 504300850 605161020 637011600 756451275 806881360 1008601700 1210322040 1512902550 2017203400 2420644080 3025805100 4034406800 6051610200 12103220400