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1200102030120 = 2335710491361957
BaseRepresentation
bin10001011101101011101…
…001111011101100101000
311020201200011200202222210
4101131223221323230220
5124130302104430440
62315152543245120
7152463434641650
oct21355351735450
94221604622883
101200102030120
11422a62344904
121747078a97a0
138922778c566
1442129cc7360
152133db41a80
hex1176ba7bb28

1200102030120 has 128 divisors (see below), whose sum is σ = 4118560992000. Its totient is φ = 274047338496.

The previous prime is 1200102030119. The next prime is 1200102030137. The reversal of 1200102030120 is 210302010021.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 1200102030096 and 1200102030105.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 200182 + ... + 1562138.

It is an arithmetic number, because the mean of its divisors is an integer number (32176257750).

Almost surely, 21200102030120 is an apocalyptic number.

1200102030120 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 1200102030120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2059280496000).

1200102030120 is an abundant number, since it is smaller than the sum of its proper divisors (2918458961880).

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

1200102030120 is a wasteful number, since it uses less digits than its factorization.

1200102030120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1363027 (or 1363023 counting only the distinct ones).

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

Adding to 1200102030120 its reverse (210302010021), we get a palindrome (1410404040141).

The spelling of 1200102030120 in words is "one trillion, two hundred billion, one hundred two million, thirty thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 56 60 70 84 105 120 140 168 210 280 420 840 1049 2098 3147 4196 5245 6294 7343 8392 10490 12588 14686 15735 20980 22029 25176 29372 31470 36715 41960 44058 58744 62940 73430 88116 110145 125880 146860 176232 220290 293720 440580 881160 1361957 2723914 4085871 5447828 6809785 8171742 9533699 10895656 13619570 16343484 19067398 20429355 27239140 28601097 32686968 38134796 40858710 47668495 54478280 57202194 76269592 81717420 95336990 114404388 143005485 163434840 190673980 228808776 286010970 381347960 572021940 1144043880 1428692893 2857385786 4286078679 5714771572 7143464465 8572157358 10000850251 11429543144 14286928930 17144314716 20001700502 21430393395 28573857860 30002550753 34288629432 40003401004 42860786790 50004251255 57147715720 60005101506 80006802008 85721573580 100008502510 120010203012 150012753765 171443147160 200017005020 240020406024 300025507530 400034010040 600051015060 1200102030120