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1201000222000 = 245319154320483
BaseRepresentation
bin10001011110100001001…
…100010000110100110000
311020210222202210122121201
4101132201030100310300
5124134122024101000
62315422030500544
7152524622310115
oct21364114206460
94223882718551
101201000222000
11423383351747
12174918664754
138933b8a1c47
14421b32d290c
152139291296a
hex117a1310d30

1201000222000 has 160 divisors (see below), whose sum is σ = 3058992069120. Its totient is φ = 454798713600.

The previous prime is 1201000221989. The next prime is 1201000222039. The reversal of 1201000222000 is 2220001021.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 58623759 + ... + 58644241.

It is an arithmetic number, because the mean of its divisors is an integer number (19118700432).

Almost surely, 21201000222000 is an apocalyptic number.

1201000222000 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 1201000222000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1529496034560).

1201000222000 is an abundant number, since it is smaller than the sum of its proper divisors (1857991847120).

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

1201000222000 is a wasteful number, since it uses less digits than its factorization.

1201000222000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22068 (or 22052 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 1201000222000 its reverse (2220001021), we get a palindrome (1203220223021).

The spelling of 1201000222000 in words is "one trillion, two hundred one billion, two hundred twenty-two thousand".

Divisors: 1 2 4 5 8 10 16 19 20 25 38 40 50 76 80 95 100 125 152 190 200 250 304 380 400 475 500 760 950 1000 1520 1543 1900 2000 2375 3086 3800 4750 6172 7600 7715 9500 12344 15430 19000 20483 24688 29317 30860 38000 38575 40966 58634 61720 77150 81932 102415 117268 123440 146585 154300 163864 192875 204830 234536 293170 308600 327728 385750 389177 409660 469072 512075 586340 617200 732925 771500 778354 819320 1024150 1172680 1465850 1543000 1556708 1638640 1945885 2048300 2345360 2560375 2931700 3086000 3113416 3664625 3891770 4096600 5120750 5863400 6226832 7329250 7783540 8193200 9729425 10241500 11726800 14658500 15567080 19458850 20483000 29317000 31134160 31605269 38917700 40966000 48647125 58634000 63210538 77835400 97294250 126421076 155670800 158026345 194588500 252842152 316052690 389177000 505684304 600500111 632105380 778354000 790131725 1201000222 1264210760 1580263450 2402000444 2528421520 3002500555 3160526900 3950658625 4804000888 6005001110 6321053800 7901317250 9608001776 12010002220 12642107600 15012502775 15802634500 24020004440 30025005550 31605269000 48040008880 60050011100 63210538000 75062513875 120100022200 150125027750 240200044400 300250055500 600500111000 1201000222000