Search a number
-
+
1200122201104 = 242959365911981
BaseRepresentation
bin10001011101101100110…
…110111000010000010000
311020201201120122120101021
4101131230312320100100
5124130322240413404
62315154543445224
7152464101252331
oct21355466702020
94221646576337
101200122201104
11422a72771642
121747125b6814
138922ba02758
144212c858288
15213407c8454
hex1176cdb8410

1200122201104 has 80 divisors (see below), whose sum is σ = 2447059896000. Its totient is φ = 569346337280.

The previous prime is 1200122201053. The next prime is 1200122201111. The reversal of 1200122201104 is 4011022210021.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 100162794 + ... + 100174774.

It is an arithmetic number, because the mean of its divisors is an integer number (30588248700).

Almost surely, 21200122201104 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 1200122201104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1223529948000).

1200122201104 is an abundant number, since it is smaller than the sum of its proper divisors (1246937694896).

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

1200122201104 is a wasteful number, since it uses less digits than its factorization.

1200122201104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15736 (or 15730 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 1200122201104 its reverse (4011022210021), we get a palindrome (5211144411125).

The spelling of 1200122201104 in words is "one trillion, two hundred billion, one hundred twenty-two million, two hundred one thousand, one hundred four".

Divisors: 1 2 4 8 16 29 58 59 116 118 232 236 464 472 944 1711 3422 3659 6844 7318 11981 13688 14636 23962 27376 29272 47924 58544 95848 106111 191696 212222 215881 347449 424444 431762 694898 706879 848888 863524 1389796 1413758 1697776 1727048 2779592 2827516 3454096 5559184 5655032 6260549 11310064 12521098 20499491 25042196 40998982 43838479 50084392 81997964 87676958 100168784 163995928 175353916 327991856 350707832 701415664 1271315891 2542631782 2586470261 5085263564 5172940522 10170527128 10345881044 20341054256 20691762088 41383524176 75007637569 150015275138 300030550276 600061100552 1200122201104