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1230142120 = 235236592029
BaseRepresentation
bin100100101010010…
…0111101010101000
310011201201200202021
41021110213222220
510004404021440
6322022114224
742325015114
oct11124475250
93151650667
101230142120
11581423a89
122a3b7b974
13167b1905c
14b9538744
1572ee184a
hex49527aa8

1230142120 has 64 divisors (see below), whose sum is σ = 2893968000. Its totient is φ = 469717248.

The previous prime is 1230142057. The next prime is 1230142157. The reversal of 1230142120 is 212410321.

It is a junction number, because it is equal to n+sod(n) for n = 1230142094 and 1230142103.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 605266 + ... + 607294.

It is an arithmetic number, because the mean of its divisors is an integer number (45218250).

Almost surely, 21230142120 is an apocalyptic number.

1230142120 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 1230142120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1446984000).

1230142120 is an abundant number, since it is smaller than the sum of its proper divisors (1663825880).

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

1230142120 is a wasteful number, since it uses less digits than its factorization.

1230142120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2722 (or 2718 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 1230142120 is about 35073.3819298909. The cubic root of 1230142120 is about 1071.4825345604.

Adding to 1230142120 its reverse (212410321), we get a palindrome (1442552441).

The spelling of 1230142120 in words is "one billion, two hundred thirty million, one hundred forty-two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 23 40 46 92 115 184 230 460 659 920 1318 2029 2636 3295 4058 5272 6590 8116 10145 13180 15157 16232 20290 26360 30314 40580 46667 60628 75785 81160 93334 121256 151570 186668 233335 303140 373336 466670 606280 933340 1337111 1866680 2674222 5348444 6685555 10696888 13371110 26742220 30753553 53484440 61507106 123014212 153767765 246028424 307535530 615071060 1230142120