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1002003121200 = 243521794664819
BaseRepresentation
bin11101001010011000000…
…10100100010000110000
310112210100022122112012010
432211030002210100300
5112404100244334300
62044151444202520
7132251400000354
oct16451402442060
93483308575163
101002003121200
11356a46704564
12142240999440
1373647296763
14366d64b5464
151b0e7543a50
hexe94c0a4430

1002003121200 has 120 divisors (see below), whose sum is σ = 3227682254400. Its totient is φ = 265708033280.

The previous prime is 1002003121129. The next prime is 1002003121219. The reversal of 1002003121200 is 21213002001.

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 (12).

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, 2117610 + ... + 2547209.

It is an arithmetic number, because the mean of its divisors is an integer number (26897352120).

Almost surely, 21002003121200 is an apocalyptic number.

1002003121200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1002003121200 is an abundant number, since it is smaller than the sum of its proper divisors (2225679133200).

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

1002003121200 is a wasteful number, since it uses less digits than its factorization.

1002003121200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4665019 (or 4665008 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 1002003121200 its reverse (21213002001), we get a palindrome (1023216123201).

The spelling of 1002003121200 in words is "one trillion, two billion, three million, one hundred twenty-one thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 150 179 200 240 300 358 400 537 600 716 895 1074 1200 1432 1790 2148 2685 2864 3580 4296 4475 5370 7160 8592 8950 10740 13425 14320 17900 21480 26850 35800 42960 53700 71600 107400 214800 4664819 9329638 13994457 18659276 23324095 27988914 37318552 46648190 55977828 69972285 74637104 93296380 111955656 116620475 139944570 186592760 223911312 233240950 279889140 349861425 373185520 466481900 559778280 699722850 835002601 932963800 1119556560 1399445700 1670005202 1865927600 2505007803 2798891400 3340010404 4175013005 5010015606 5597782800 6680020808 8350026010 10020031212 12525039015 13360041616 16700052020 20040062424 20875065025 25050078030 33400104040 40080124848 41750130050 50100156060 62625195075 66800208080 83500260100 100200312120 125250390150 167000520200 200400624240 250500780300 334001040400 501001560600 1002003121200