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1201211011220 = 22511113379312739
BaseRepresentation
bin10001011110101101110…
…000010111000010010100
311020211112110102212001212
4101132231300113002110
5124140040004324340
62315455000440552
7152533062062003
oct21365560270224
94224473385055
101201211011220
11423481333810
12174977179158
13893734660ac
14421d32c2c3a
15213a619da65
hex117adc17094

1201211011220 has 96 divisors (see below), whose sum is σ = 2777167935360. Its totient is φ = 432790364160.

The previous prime is 1201211011219. The next prime is 1201211011243. The reversal of 1201211011220 is 221101121021.

It is a junction number, because it is equal to n+sod(n) for n = 1201211011195 and 1201211011204.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 94287611 + ... + 94300349.

It is an arithmetic number, because the mean of its divisors is an integer number (28928832660).

Almost surely, 21201211011220 is an apocalyptic number.

1201211011220 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 1201211011220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1388583967680).

1201211011220 is an abundant number, since it is smaller than the sum of its proper divisors (1575956924140).

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

1201211011220 is a wasteful number, since it uses less digits than its factorization.

1201211011220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16665 (or 16663 counting only the distinct ones).

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

Adding to 1201211011220 its reverse (221101121021), we get a palindrome (1422312132241).

The spelling of 1201211011220 in words is "one trillion, two hundred one billion, two hundred eleven million, eleven thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 113 220 226 452 565 1130 1243 2260 2486 3793 4972 6215 7586 12430 12739 15172 18965 24860 25478 37930 41723 50956 63695 75860 83446 127390 140129 166892 208615 254780 280258 417230 428609 560516 700645 834460 857218 1401290 1439507 1714436 2143045 2802580 2879014 4286090 4714699 5758028 7197535 8572180 9429398 14395070 15834577 18858796 23573495 28790140 31669154 47146990 48319027 63338308 79172885 94293980 96638054 158345770 193276108 241595135 316691540 483190270 531509297 966380540 1063018594 2126037188 2657546485 5315092970 5460050051 10630185940 10920100102 21840200204 27300250255 54600500510 60060550561 109201001020 120121101122 240242202244 300302752805 600605505610 1201211011220