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1221010211120 = 245712097180241
BaseRepresentation
bin10001110001001001111…
…000010100000100110000
311022201122022010102100212
4101301021320110010300
5130001112103223440
62332531354203252
7154133525356610
oct21611170240460
94281568112325
101221010211120
11430911483737
12178781a23528
138b1aa3664ab
1443150a58a40
1521b644a3465
hex11c49e14130

1221010211120 has 80 divisors (see below), whose sum is σ = 3244684761408. Its totient is φ = 418595143680.

The previous prime is 1221010211093. The next prime is 1221010211143. The reversal of 1221010211120 is 211120101221.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 1221010211095 and 1221010211104.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6684200 + ... + 6864440.

Almost surely, 21221010211120 is an apocalyptic number.

1221010211120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1221010211120 is an abundant number, since it is smaller than the sum of its proper divisors (2023674550288).

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

1221010211120 is a wasteful number, since it uses less digits than its factorization.

1221010211120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 192358 (or 192352 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 1221010211120 its reverse (211120101221), we get a palindrome (1432130312341).

The spelling of 1221010211120 in words is "one trillion, two hundred twenty-one billion, ten million, two hundred eleven thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 140 280 560 12097 24194 48388 60485 84679 96776 120970 169358 180241 193552 241940 338716 360482 423395 483880 677432 720964 846790 901205 967760 1261687 1354864 1441928 1693580 1802410 2523374 2883856 3387160 3604820 5046748 6308435 6774320 7209640 10093496 12616870 14419280 20186992 25233740 50467480 100934960 2180375377 4360750754 8721501508 10901876885 15262627639 17443003016 21803753770 30525255278 34886006032 43607507540 61050510556 76313138195 87215015080 122101021112 152626276390 174430030160 244202042224 305252552780 610505105560 1221010211120