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1221200102120 = 2351011097275549
BaseRepresentation
bin10001110001010101001…
…100101100001011101000
311022202010112102212211212
4101301111030230023220
5130002004211231440
62333002300212252
7154141322411645
oct21612514541350
94282115385755
101221200102120
114309a9691649
1217881553a088
138b20a7c142b
144316bd68dcc
1521b75eb2465
hex11c5532c2e8

1221200102120 has 64 divisors (see below), whose sum is σ = 2777444802000. Its totient is φ = 483200972800.

The previous prime is 1221200102093. The next prime is 1221200102137. The reversal of 1221200102120 is 212010021221.

It can be written as a sum of positive squares in 8 ways, for example, as 995177827396 + 226022274724 = 997586^2 + 475418^2 .

It is a junction number, because it is equal to n+sod(n) for n = 1221200102095 and 1221200102104.

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, 4294106 + ... + 4569654.

Almost surely, 21221200102120 is an apocalyptic number.

1221200102120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1221200102120 is an abundant number, since it is smaller than the sum of its proper divisors (1556244699880).

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

1221200102120 is a wasteful number, since it uses less digits than its factorization.

1221200102120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 276758 (or 276754 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 1221200102120 its reverse (212010021221), we get a palindrome (1433210123341).

The spelling of 1221200102120 in words is "one trillion, two hundred twenty-one billion, two hundred million, one hundred two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 101 202 404 505 808 1010 1097 2020 2194 4040 4388 5485 8776 10970 21940 43880 110797 221594 275549 443188 551098 553985 886376 1102196 1107970 1377745 2204392 2215940 2755490 4431880 5510980 11021960 27830449 55660898 111321796 139152245 222643592 278304490 302277253 556608980 604554506 1113217960 1209109012 1511386265 2418218024 3022772530 6045545060 12091090120 30530002553 61060005106 122120010212 152650012765 244240020424 305300025530 610600051060 1221200102120