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1121121020120 = 2351910128151977
BaseRepresentation
bin10000010100001000000…
…001010010100011011000
310222011210211222202111012
4100110020001102203120
5121332023440120440
62215011430153052
7143666265302453
oct20241001224330
93864724882435
101121121020120
113a2512652022
121613451b2788
138194b7b340a
143c39660049a
151e269d55e65
hex105080528d8

1121121020120 has 128 divisors (see below), whose sum is σ = 2691171345600. Its totient is φ = 419134464000.

The previous prime is 1121121020111. The next prime is 1121121020153. The reversal of 1121121020120 is 210201211211.

It is a junction number, because it is equal to n+sod(n) for n = 1121121020095 and 1121121020104.

It is a congruent number.

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, 21543572 + ... + 21595548.

Almost surely, 21121121020120 is an apocalyptic number.

1121121020120 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 1121121020120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1345585672800).

1121121020120 is an abundant number, since it is smaller than the sum of its proper divisors (1570050325480).

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

1121121020120 is a wasteful number, since it uses less digits than its factorization.

1121121020120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52389 (or 52385 counting only the distinct ones).

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

Adding to 1121121020120 its reverse (210201211211), we get a palindrome (1331322231331).

The spelling of 1121121020120 in words is "one trillion, one hundred twenty-one billion, one hundred twenty-one million, twenty thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 19 20 38 40 76 95 101 152 190 202 281 380 404 505 562 760 808 1010 1124 1405 1919 2020 2248 2810 3838 4040 5339 5620 7676 9595 10678 11240 15352 19190 21356 26695 28381 38380 42712 51977 53390 56762 76760 103954 106780 113524 141905 207908 213560 227048 259885 283810 415816 519770 539239 567620 987563 1039540 1078478 1135240 1975126 2079080 2156956 2696195 3950252 4313912 4937815 5249677 5392390 7900504 9875630 10499354 10784780 14605537 19751260 20998708 21569560 26248385 29211074 39502520 41997416 52496770 58422148 73027685 99743863 104993540 116844296 146055370 199487726 209987080 277505203 292110740 398975452 498719315 555010406 584221480 797950904 997438630 1110020812 1387526015 1475159237 1994877260 2220041624 2775052030 2950318474 3989754520 5550104060 5900636948 7375796185 11100208120 11801273896 14751592370 28028025503 29503184740 56056051006 59006369480 112112102012 140140127515 224224204024 280280255030 560560510060 1121121020120