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1125510022120 = 235112652935617
BaseRepresentation
bin10000011000001101101…
…000000000001111101000
310222121010201200011100211
4100120031220000033220
5121420021031201440
62221015133510504
7144213121223611
oct20301550001750
93877121604324
101125510022120
113a436507a200
1216216b042434
138219ab95513
143c691494c08
151e42531aeea
hex1060da003e8

1125510022120 has 96 divisors (see below), whose sum is σ = 2784048913800. Its totient is φ = 409202196480.

The previous prime is 1125510022081. The next prime is 1125510022123. The reversal of 1125510022120 is 212200155211.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 573778980324 + 551731041796 = 757482^2 + 742786^2 .

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 1125510022091 and 1125510022100.

It is not an unprimeable number, because it can be changed into a prime (1125510022123) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 31582552 + ... + 31618168.

Almost surely, 21125510022120 is an apocalyptic number.

1125510022120 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 1125510022120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1392024456900).

1125510022120 is an abundant number, since it is smaller than the sum of its proper divisors (1658538891680).

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

1125510022120 is a wasteful number, since it uses less digits than its factorization.

1125510022120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42179 (or 42164 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 22.

Adding to 1125510022120 its reverse (212200155211), we get a palindrome (1337710177331).

The spelling of 1125510022120 in words is "one trillion, one hundred twenty-five billion, five hundred ten million, twenty-two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 121 220 242 440 484 605 968 1210 2420 4840 6529 13058 26116 32645 35617 52232 65290 71234 71819 130580 142468 143638 178085 261160 284936 287276 356170 359095 391787 574552 712340 718190 783574 790009 1424680 1436380 1567148 1580018 1958935 2872760 3134296 3160036 3917870 3950045 4309657 6320072 7835740 7900090 8619314 15671480 15800180 17238628 21548285 31600360 34477256 43096570 86193140 172386280 232543393 465086786 930173572 1162716965 1860347144 2325433930 2557977323 4650867860 5115954646 9301735720 10231909292 12789886615 20463818584 25579773230 28137750553 51159546460 56275501106 102319092920 112551002212 140688752765 225102004424 281377505530 562755011060 1125510022120