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1021210001200 = 245219137980801
BaseRepresentation
bin11101101110001001101…
…10111111111100110000
310121121220212210010100001
432313010312333330300
5113212414230014300
62101045402235344
7133531351534144
oct16670466777460
93547825703301
101021210001200
11364102471804
12145b011b5b54
13753b8559bcc
14375d9303224
151b86d84616a
hexedc4dbff30

1021210001200 has 120 divisors (see below), whose sum is σ = 2601439992720. Its totient is φ = 384159744000.

The previous prime is 1021210001179. The next prime is 1021210001263. The reversal of 1021210001200 is 21000121201.

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 23 ways as a sum of consecutive naturals, for example, 550800 + ... + 1531600.

It is an arithmetic number, because the mean of its divisors is an integer number (21678666606).

Almost surely, 21021210001200 is an apocalyptic number.

1021210001200 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 1021210001200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1300719996360).

1021210001200 is an abundant number, since it is smaller than the sum of its proper divisors (1580229991520).

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

1021210001200 is a wasteful number, since it uses less digits than its factorization.

1021210001200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 980975 (or 980964 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 1021210001200 its reverse (21000121201), we get a palindrome (1042210122401).

The spelling of 1021210001200 in words is "one trillion, twenty-one billion, two hundred ten million, one thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 19 20 25 38 40 50 76 80 95 100 137 152 190 200 274 304 380 400 475 548 685 760 950 1096 1370 1520 1900 2192 2603 2740 3425 3800 5206 5480 6850 7600 10412 10960 13015 13700 20824 26030 27400 41648 52060 54800 65075 104120 130150 208240 260300 520600 980801 1041200 1961602 3923204 4904005 7846408 9808010 15692816 18635219 19616020 24520025 37270438 39232040 49040050 74540876 78464080 93176095 98080100 134369737 149081752 186352190 196160200 268739474 298163504 372704380 392320400 465880475 537478948 671848685 745408760 931760950 1074957896 1343697370 1490817520 1863521900 2149915792 2553025003 2687394740 3359243425 3727043800 5106050006 5374789480 6718486850 7454087600 10212100012 10749578960 12765125015 13436973700 20424200024 25530250030 26873947400 40848400048 51060500060 53747894800 63825625075 102121000120 127651250150 204242000240 255302500300 510605000600 1021210001200