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1121221101220 = 2251131303754133
BaseRepresentation
bin10000010100001101111…
…111000100011010100100
310222012001211022101221121
4100110031333010122210
5121332230100214340
62215025403223324
7144001622053213
oct20241577043244
93865054271847
101121221101220
113a2564099480
12161372817b44
1381966454abc
143c3a5a1307a
151e273a2494a
hex1050dfc46a4

1121221101220 has 96 divisors (see below), whose sum is σ = 2652396235776. Its totient is φ = 394427404800.

The previous prime is 1121221101163. The next prime is 1121221101223. The reversal of 1121221101220 is 221011221211.

It is a junction number, because it is equal to n+sod(n) for n = 1121221101194 and 1121221101203.

It is not an unprimeable number, because it can be changed into a prime (1121221101223) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 20685274 + ... + 20739406.

It is an arithmetic number, because the mean of its divisors is an integer number (27629127456).

Almost surely, 21121221101220 is an apocalyptic number.

1121221101220 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 1121221101220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1326198117888).

1121221101220 is an abundant number, since it is smaller than the sum of its proper divisors (1531175134556).

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

1121221101220 is a wasteful number, since it uses less digits than its factorization.

1121221101220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57221 (or 57219 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 1121221101220 its reverse (221011221211), we get a palindrome (1342232322431).

The spelling of 1121221101220 in words is "one trillion, one hundred twenty-one billion, two hundred twenty-one million, one hundred one thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 31 44 55 62 110 124 155 220 310 341 620 682 1364 1705 3037 3410 6074 6820 12148 15185 30370 33407 54133 60740 66814 94147 108266 133628 167035 188294 216532 270665 334070 376588 470735 541330 595463 668140 941470 1035617 1082660 1190926 1678123 1882940 2071234 2381852 2977315 3356246 4142468 5178085 5954630 6712492 8390615 10356170 11909260 16781230 18459353 20712340 33562460 36918706 73837412 92296765 164401921 184593530 328803842 369187060 657607684 822009605 1644019210 1808421131 3288038420 3616842262 5096459551 7233684524 9042105655 10192919102 18084211310 20385838204 25482297755 36168422620 50964595510 56061055061 101929191020 112122110122 224244220244 280305275305 560610550610 1121221101220