Search a number
-
+
1212501140 = 225315336899
BaseRepresentation
bin100100001000101…
…0100110010010100
310010111112102212122
41020101110302110
54440400014030
6320152035112
742022042514
oct11021246224
93114472778
101212501140
11572475064
1229a092a98
131642805c6
14b7065844
15716a98e5
hex48454c94

1212501140 has 48 divisors (see below), whose sum is σ = 2678054400. Its totient is φ = 460487040.

The previous prime is 1212501139. The next prime is 1212501167. The reversal of 1212501140 is 411052121.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14411 + ... + 51309.

It is an arithmetic number, because the mean of its divisors is an integer number (55792800).

Almost surely, 21212501140 is an apocalyptic number.

1212501140 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 1212501140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1339027200).

1212501140 is an abundant number, since it is smaller than the sum of its proper divisors (1465553260).

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

1212501140 is a wasteful number, since it uses less digits than its factorization.

1212501140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36992 (or 36990 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 17.

The square root of 1212501140 is about 34820.9870624025. The cubic root of 1212501140 is about 1066.3359519446.

Adding to 1212501140 its reverse (411052121), we get a palindrome (1623553261).

The spelling of 1212501140 in words is "one billion, two hundred twelve million, five hundred one thousand, one hundred forty".

Divisors: 1 2 4 5 10 20 31 53 62 106 124 155 212 265 310 530 620 1060 1643 3286 6572 8215 16430 32860 36899 73798 147596 184495 368990 737980 1143869 1955647 2287738 3911294 4575476 5719345 7822588 9778235 11438690 19556470 22877380 39112940 60625057 121250114 242500228 303125285 606250570 1212501140