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1201325112444 = 22323101293147083
BaseRepresentation
bin10001011110110100100…
…011100111110001111100
311020211211102010210112010
4101132310203213301330
5124140303212044234
62315514154211220
7152535645654432
oct21366443476174
94224742123463
101201325112444
1142352a786746
121749a9423b10
1389390ca6102
1442204504d52
15213b11db6e9
hex117b48e7c7c

1201325112444 has 96 divisors (see below), whose sum is σ = 2964027354624. Its totient is φ = 377941907200.

The previous prime is 1201325112431. The next prime is 1201325112451. The reversal of 1201325112444 is 4442115231021.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8094127 + ... + 8241209.

It is an arithmetic number, because the mean of its divisors is an integer number (30875284944).

Almost surely, 21201325112444 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 1201325112444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1482013677312).

1201325112444 is an abundant number, since it is smaller than the sum of its proper divisors (1762702242180).

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

1201325112444 is a wasteful number, since it uses less digits than its factorization.

1201325112444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147507 (or 147505 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 30.

The spelling of 1201325112444 in words is "one trillion, two hundred one billion, three hundred twenty-five million, one hundred twelve thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 12 23 46 69 92 101 138 202 276 293 303 404 586 606 879 1172 1212 1758 2323 3516 4646 6739 6969 9292 13478 13938 20217 26956 27876 29593 40434 59186 80868 88779 118372 147083 177558 294166 355116 441249 588332 680639 882498 1361278 1764996 2041917 2722556 3382909 4083834 6765818 8167668 10148727 13531636 14855383 20297454 29710766 40594908 43095319 44566149 59421532 86190638 89132298 129285957 172381276 178264596 258571914 341673809 517143828 683347618 991192337 1025021427 1366695236 1982384674 2050042854 2973577011 3964769348 4100085708 4352627219 5947154022 8705254438 11894308044 13057881657 17410508876 26115763314 52231526628 100110426037 200220852074 300331278111 400441704148 600662556222 1201325112444