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1120122101120 = 27511179359309
BaseRepresentation
bin10000010011001100011…
…110101101110110000000
310222002020020100102020012
4100103030132231312000
5121323002224213440
62214324344004052
7143632445523251
oct20231436556600
93862206312205
101120122101120
113a204a7a7430
12161106760628
138181c864299
143c2dda94b28
151e20c2d9e65
hex104cc7add80

1120122101120 has 128 divisors (see below), whose sum is σ = 3093064768800. Its totient is φ = 383357255680.

The previous prime is 1120122101113. The next prime is 1120122101129. The reversal of 1120122101120 is 211012210211.

It is a tau number, because it is divible by the number of its divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 1120122101095 and 1120122101104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1120122101129) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4559975 + ... + 4799334.

Almost surely, 21120122101120 is an apocalyptic number.

1120122101120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1120122101120 is an abundant number, since it is smaller than the sum of its proper divisors (1972942667680).

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

1120122101120 is a wasteful number, since it uses less digits than its factorization.

1120122101120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9359356 (or 9359344 counting only the distinct ones).

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

Adding to 1120122101120 its reverse (211012210211), we get a palindrome (1331134311331).

The spelling of 1120122101120 in words is "one trillion, one hundred twenty billion, one hundred twenty-two million, one hundred one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 17 20 22 32 34 40 44 55 64 68 80 85 88 110 128 136 160 170 176 187 220 272 320 340 352 374 440 544 640 680 704 748 880 935 1088 1360 1408 1496 1760 1870 2176 2720 2992 3520 3740 5440 5984 7040 7480 10880 11968 14960 23936 29920 59840 119680 9359309 18718618 37437236 46796545 74874472 93593090 102952399 149748944 159108253 187186180 205904798 299497888 318216506 374372360 411809596 514761995 598995776 636433012 748744720 795541265 823619192 1029523990 1197991552 1272866024 1497489440 1591082530 1647238384 1750190783 2059047980 2545732048 2994978880 3182165060 3294476768 3500381566 4118095960 5091464096 5989957760 6364330120 6588953536 7000763132 8236191920 8750953915 10182928192 12728660240 13177907072 14001526264 16472383840 17501907830 20365856384 25457320480 28003052528 32944767680 35003815660 50914640960 56006105056 65889535360 70007631320 101829281920 112012210112 140015262640 224024420224 280030525280 560061050560 1120122101120