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1216721025 = 3252131724469
BaseRepresentation
bin100100010000101…
…1011000010000001
310010210110211110200
41020201123002001
54442440033100
6320422315413
742102646422
oct11041330201
93123424420
101216721025
11574897573
1229b588b69
131650ca290
14b7843649
1571c3ee00
hex4885b081

1216721025 has 72 divisors (see below), whose sum is σ = 2485075320. Its totient is φ = 563742720.

The previous prime is 1216720969. The next prime is 1216721039. The reversal of 1216721025 is 5201276121.

It can be written as a sum of positive squares in 12 ways, for example, as 600887169 + 615833856 = 24513^2 + 24816^2 .

It is not a de Polignac number, because 1216721025 - 224 = 1199943809 is a prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 1216721025.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 37491 + ... + 61959.

It is an arithmetic number, because the mean of its divisors is an integer number (34514935).

Almost surely, 21216721025 is an apocalyptic number.

1216721025 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1216721025 is an abundant number, since it is smaller than the sum of its proper divisors (1268354295).

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

1216721025 is a wasteful number, since it uses less digits than its factorization.

1216721025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24515 (or 24507 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

The square root of 1216721025 is about 34881.5284212146. The cubic root of 1216721025 is about 1067.5715809964.

Adding to 1216721025 its reverse (5201276121), we get a palindrome (6417997146).

The spelling of 1216721025 in words is "one billion, two hundred sixteen million, seven hundred twenty-one thousand, twenty-five".

Divisors: 1 3 5 9 13 15 17 25 39 45 51 65 75 85 117 153 195 221 225 255 325 425 585 663 765 975 1105 1275 1989 2925 3315 3825 5525 9945 16575 24469 49725 73407 122345 220221 318097 367035 415973 611725 954291 1101105 1247919 1590485 1835175 2079865 2862873 3743757 4771455 5407649 5505525 6239595 7952425 10399325 14314365 16222947 18718785 23857275 27038245 31197975 48668841 71571825 81114735 93593925 135191225 243344205 405573675 1216721025