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1120121120120 = 235411016839901
BaseRepresentation
bin10000010011001100011…
…010111110010101111000
310222002020011111120112212
4100103030122332111320
5121323002001320440
62214324310554252
7143632434266222
oct20231432762570
93862204446485
101120121120120
113a204a197392
12161106368988
138181c5ac902
143c2dd8bb412
151e20c194465
hex104cc6be578

1120121120120 has 128 divisors (see below), whose sum is σ = 2611385542080. Its totient is φ = 432115200000.

The previous prime is 1120121120099. The next prime is 1120121120143. The reversal of 1120121120120 is 210211210211.

It is a junction number, because it is equal to n+sod(n) for n = 1120121120095 and 1120121120104.

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, 113127170 + ... + 113137070.

Almost surely, 21120121120120 is an apocalyptic number.

1120121120120 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 1120121120120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1305692771040).

1120121120120 is an abundant number, since it is smaller than the sum of its proper divisors (1491264421960).

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

1120121120120 is a wasteful number, since it uses less digits than its factorization.

1120121120120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10737 (or 10733 counting only the distinct ones).

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

Adding to 1120121120120 its reverse (210211210211), we get a palindrome (1330332330331).

Subtracting from 1120121120120 its reverse (210211210211), we obtain a palindrome (909909909909).

The spelling of 1120121120120 in words is "one trillion, one hundred twenty billion, one hundred twenty-one million, one hundred twenty thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 41 82 101 164 202 205 328 404 410 505 683 808 820 1010 1366 1640 2020 2732 3415 4040 4141 5464 6830 8282 9901 13660 16564 19802 20705 27320 28003 33128 39604 41410 49505 56006 68983 79208 82820 99010 112012 137966 140015 165640 198020 224024 275932 280030 344915 396040 405941 551864 560060 689830 811882 1000001 1120120 1379660 1623764 2000002 2029705 2759320 2828303 3247528 4000004 4059410 5000005 5656606 6762383 8000008 8118820 10000010 11313212 13524766 14141515 16237640 20000020 22626424 27049532 28283030 33811915 40000040 41000041 54099064 56566060 67623830 82000082 113132120 135247660 164000164 205000205 270495320 277257703 328000328 410000410 554515406 683000683 820000820 1109030812 1366001366 1386288515 1640001640 2218061624 2732002732 2772577030 3415003415 5464005464 5545154060 6830006830 11090308120 13660013660 27320027320 28003028003 56006056006 112012112012 140015140015 224024224024 280030280030 560060560060 1120121120120