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1201325004 = 22321112723887
BaseRepresentation
bin100011110011010…
…1100001111001100
310002201111122002200
41013212230033030
54430014400004
6315112321500
741525044155
oct10746541714
93081448080
101201325004
11567131290
122963a3290
13161b695c9
14b579692c
15706ed239
hex479ac3cc

1201325004 has 72 divisors (see below), whose sum is σ = 3338969088. Its totient is φ = 361156320.

The previous prime is 1201324997. The next prime is 1201325053. The reversal of 1201325004 is 4005231021.

It is a Harshad number since it is a multiple of its sum of digits (18).

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, 38349 + ... + 62235.

Almost surely, 21201325004 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1201325004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1669484544).

1201325004 is an abundant number, since it is smaller than the sum of its proper divisors (2137644084).

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

1201325004 is a wasteful number, since it uses less digits than its factorization.

1201325004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24035 (or 24030 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 1201325004 is about 34660.1356604385. The cubic root of 1201325004 is about 1063.0495438878.

Adding to 1201325004 its reverse (4005231021), we get a palindrome (5206556025).

The spelling of 1201325004 in words is "one billion, two hundred one million, three hundred twenty-five thousand, four".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 127 132 198 254 381 396 508 762 1143 1397 1524 2286 2794 4191 4572 5588 8382 12573 16764 23887 25146 47774 50292 71661 95548 143322 214983 262757 286644 429966 525514 788271 859932 1051028 1576542 2364813 3033649 3153084 4729626 6067298 9100947 9459252 12134596 18201894 27302841 33370139 36403788 54605682 66740278 100110417 109211364 133480556 200220834 300331251 400441668 600662502 1201325004