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1221002201100 = 2235211715211277
BaseRepresentation
bin10001110001001001011…
…001110000100000001100
311022201121202001110200110
4101301021121300200030
5130001103030413400
62332530510400020
7154133400316023
oct21611131604014
94281552043613
101221002201100
11430907a02690
1217877b200010
138b1a87c0636
144314d9718ba
1521b6391ee50
hex11c4967080c

1221002201100 has 144 divisors (see below), whose sum is σ = 3908208358656. Its totient is φ = 291831456000.

The previous prime is 1221002201053. The next prime is 1221002201101. The reversal of 1221002201100 is 11022001221.

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

It is not an unprimeable number, because it can be changed into a prime (1221002201101) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2371339 + ... + 2839938.

It is an arithmetic number, because the mean of its divisors is an integer number (27140335824).

Almost surely, 21221002201100 is an apocalyptic number.

1221002201100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1221002201100 is an abundant number, since it is smaller than the sum of its proper divisors (2687206157556).

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

1221002201100 is a wasteful number, since it uses less digits than its factorization.

1221002201100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5211376 (or 5211369 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 1221002201100 its reverse (11022001221), we get a palindrome (1232024202321).

The spelling of 1221002201100 in words is "one trillion, two hundred twenty-one billion, two million, two hundred one thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 25 30 33 44 50 55 60 66 71 75 100 110 132 142 150 165 213 220 275 284 300 330 355 426 550 660 710 781 825 852 1065 1100 1420 1562 1650 1775 2130 2343 3124 3300 3550 3905 4260 4686 5325 7100 7810 9372 10650 11715 15620 19525 21300 23430 39050 46860 58575 78100 117150 234300 5211277 10422554 15633831 20845108 26056385 31267662 52112770 57324047 62535324 78169155 104225540 114648094 130281925 156338310 171972141 229296188 260563850 286620235 312676620 343944282 370000667 390845775 521127700 573240470 687888564 740001334 781691550 859860705 1110002001 1146480940 1433101175 1480002668 1563383100 1719721410 1850003335 2220004002 2866202350 3439442820 3700006670 4070007337 4299303525 4440008004 5550010005 5732404700 7400013340 8140014674 8598607050 9250016675 11100020010 12210022011 16280029348 17197214100 18500033350 20350036685 22200040020 24420044022 27750050025 37000066700 40700073370 48840088044 55500100050 61050110055 81400146740 101750183425 111000200100 122100220110 203500366850 244200440220 305250550275 407000733700 610501100550 1221002201100