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1211112111020 = 2257101160753299
BaseRepresentation
bin10001100111111011111…
…010000011101110101100
311021210002111002211121212
4101213323322003232230
5124320324200023040
62324213251413552
7153333326042120
oct21477372035654
94253074084555
101211112111020
114276a2238619
1217687abb42b8
138a290806526
144289225d580
1521785522d65
hex119fbe83bac

1211112111020 has 96 divisors (see below), whose sum is σ = 2937329740800. Its totient is φ = 410863622400.

The previous prime is 1211112110981. The next prime is 1211112111067. The reversal of 1211112111020 is 201112111121.

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 = 1211112110986 and 1211112111004.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 22696331 + ... + 22749629.

It is an arithmetic number, because the mean of its divisors is an integer number (30597184800).

Almost surely, 21211112111020 is an apocalyptic number.

1211112111020 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 1211112111020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1468664870400).

1211112111020 is an abundant number, since it is smaller than the sum of its proper divisors (1726217629780).

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

1211112111020 is a wasteful number, since it uses less digits than its factorization.

1211112111020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55023 (or 55021 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 14.

Adding to 1211112111020 its reverse (201112111121), we get a palindrome (1412224222141).

The spelling of 1211112111020 in words is "one trillion, two hundred eleven billion, one hundred twelve million, one hundred eleven thousand, twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 101 140 202 404 505 707 1010 1414 1607 2020 2828 3214 3535 6428 7070 8035 11249 14140 16070 22498 32140 44996 53299 56245 106598 112490 162307 213196 224980 266495 324614 373093 532990 649228 746186 811535 1065980 1136149 1492372 1623070 1865465 2272298 3246140 3730930 4544596 5383199 5680745 7461860 10766398 11361490 21532796 22722980 26915995 37682393 53831990 75364786 85651493 107663980 150729572 171302986 188411965 342605972 376823930 428257465 599560451 753647860 856514930 1199120902 1713029860 2398241804 2997802255 5995604510 8650800793 11991209020 17301601586 34603203172 43254003965 60555605551 86508007930 121111211102 173016015860 242222422204 302778027755 605556055510 1211112111020