Search a number
-
+
1210000120 = 235721274861
BaseRepresentation
bin100100000011111…
…0010001011111000
310010022211101010021
41020013302023320
54434230000440
6320022300224
741661555100
oct11007621370
93108741107
101210000120
11571016aaa
12299287674
131638b6104
14b69b4200
157136384a
hex481f22f8

1210000120 has 96 divisors (see below), whose sum is σ = 3192583680. Its totient is φ = 411505920.

The previous prime is 1210000117. The next prime is 1210000133. The reversal of 1210000120 is 210000121.

It is a Harshad number since it is a multiple of its sum of digits (7).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 246490 + ... + 251350.

It is an arithmetic number, because the mean of its divisors is an integer number (33256080).

Almost surely, 21210000120 is an apocalyptic number.

1210000120 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 1210000120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1596291840).

1210000120 is an abundant number, since it is smaller than the sum of its proper divisors (1982583560).

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

1210000120 is a wasteful number, since it uses less digits than its factorization.

1210000120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5013 (or 5002 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 7.

The square root of 1210000120 is about 34785.0559867309. The cubic root of 1210000120 is about 1065.6022719931.

Adding to 1210000120 its reverse (210000121), we get a palindrome (1420000241).

Subtracting from 1210000120 its reverse (210000121), we obtain a palindrome (999999999).

The spelling of 1210000120 in words is "one billion, two hundred ten million, one hundred twenty", and thus it is an aban number.

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 49 56 70 98 127 140 196 245 254 280 392 490 508 635 889 980 1016 1270 1778 1960 2540 3556 4445 4861 5080 6223 7112 8890 9722 12446 17780 19444 24305 24892 31115 34027 35560 38888 48610 49784 62230 68054 97220 124460 136108 170135 194440 238189 248920 272216 340270 476378 617347 680540 952756 1190945 1234694 1361080 1905512 2381890 2469388 3086735 4321429 4763780 4938776 6173470 8642858 9527560 12346940 17285716 21607145 24693880 30250003 34571432 43214290 60500006 86428580 121000012 151250015 172857160 242000024 302500030 605000060 1210000120