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1201203252 = 2232314722901
BaseRepresentation
bin100011110011000…
…1110100000110100
310002201021110002100
41013212032200310
54430002001002
6315105542100
741524026204
oct10746164064
93081243070
101201203252
11567058867
12296344930
13161b26072
14b5764404
15706c711c
hex4798e834

1201203252 has 72 divisors (see below), whose sum is σ = 3201149952. Its totient is φ = 379224000.

The previous prime is 1201203251. The next prime is 1201203253. The reversal of 1201203252 is 2523021021.

It is an interprime number because it is at equal distance from previous prime (1201203251) and next prime (1201203253).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1201203251) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 41002 + ... + 63902.

It is an arithmetic number, because the mean of its divisors is an integer number (44460416).

Almost surely, 21201203252 is an apocalyptic number.

1201203252 is a gapful number since it is divisible by the number (12) 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 1201203252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1600574976).

1201203252 is an abundant number, since it is smaller than the sum of its proper divisors (1999946700).

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

1201203252 is a wasteful number, since it uses less digits than its factorization.

1201203252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22989 (or 22984 counting only the distinct ones).

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

The square root of 1201203252 is about 34658.3792465834. The cubic root of 1201203252 is about 1063.0136299927.

Adding to 1201203252 its reverse (2523021021), we get a palindrome (3724224273).

The spelling of 1201203252 in words is "one billion, two hundred one million, two hundred three thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 18 31 36 47 62 93 94 124 141 186 188 279 282 372 423 558 564 846 1116 1457 1692 2914 4371 5828 8742 13113 17484 22901 26226 45802 52452 68703 91604 137406 206109 274812 412218 709931 824436 1076347 1419862 2129793 2152694 2839724 3229041 4259586 4305388 6389379 6458082 8519172 9687123 12778758 12916164 19374246 25557516 33366757 38748492 66733514 100100271 133467028 200200542 300300813 400401084 600601626 1201203252