Search a number
-
+
1220002012112 = 24132312713714657
BaseRepresentation
bin10001110000001101110…
…010010101101111010000
311022122001001000121022212
4101300031302111233100
5124442031003341422
62332243341051252
7154066534000112
oct21601562255720
94278031017285
101220002012112
1143044436a914
12178540256b28
138b079518430
1443096bb53b2
1521b05c029e2
hex11c0dc95bd0

1220002012112 has 160 divisors (see below), whose sum is σ = 2696899387392. Its totient is φ = 530418696192.

The previous prime is 1220002012067. The next prime is 1220002012139. The reversal of 1220002012112 is 2112102000221.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 83229488 + ... + 83244144.

Almost surely, 21220002012112 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 1220002012112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1348449693696).

1220002012112 is an abundant number, since it is smaller than the sum of its proper divisors (1476897375280).

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

1220002012112 is a wasteful number, since it uses less digits than its factorization.

1220002012112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14965 (or 14959 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 1220002012112 its reverse (2112102000221), we get a palindrome (3332104012333).

The spelling of 1220002012112 in words is "one trillion, two hundred twenty billion, two million, twelve thousand, one hundred twelve".

Divisors: 1 2 4 8 13 16 23 26 46 52 92 104 127 137 184 208 254 274 299 368 508 548 598 1016 1096 1196 1651 1781 2032 2192 2392 2921 3151 3302 3562 4784 5842 6302 6604 7124 11684 12604 13208 14248 14657 17399 23368 25208 26416 28496 29314 34798 37973 40963 46736 50416 58628 69596 75946 81926 117256 139192 151892 163852 190541 226187 234512 278384 303784 327704 337111 381082 400177 452374 607568 655408 674222 762164 800354 904748 1348444 1524328 1600708 1809496 1861439 2008009 2696888 3048656 3201416 3618992 3722878 4016018 4382443 5202301 5393776 6402832 7445756 8032036 8764886 10404602 14891512 16064072 17529772 20809204 24198707 26104117 29783024 32128144 35059544 41618408 42813097 46184207 48397414 52208234 70119088 83236816 85626194 92368414 96794828 104416468 171252388 184736828 193589656 208832936 255017143 342504776 369473656 387179312 417665872 510034286 556570261 600394691 685009552 738947312 1020068572 1113140522 1200789382 2040137144 2226281044 2401578764 3315222859 4080274288 4452562088 4803157528 5865394289 6630445718 8905124176 9606315056 11730788578 13260891436 23461577156 26521782872 46923154312 53043565744 76250125757 93846308624 152500251514 305000503028 610001006056 1220002012112