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121002211110 = 235113747210853
BaseRepresentation
bin111000010110001001…
…0110011011100100110
3102120022212000012200110
41300230102303130212
53440303031223420
6131330533153450
711512355552454
oct1605422633446
9376285005613
10121002211110
1147353659170
121b54b48b886
13b544a19ab1
145bdc4ab9d4
153232e71ee0
hex1c2c4b3726

121002211110 has 128 divisors (see below), whose sum is σ = 332292409344. Its totient is φ = 27933672960.

The previous prime is 121002211027. The next prime is 121002211171. The reversal of 121002211110 is 11112200121.

It is a super-4 number, since 4×1210022111104 (a number of 45 digits) contains 4444 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 468444 + ... + 679296.

It is an arithmetic number, because the mean of its divisors is an integer number (2596034448).

Almost surely, 2121002211110 is an apocalyptic number.

121002211110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 121002211110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166146204672).

121002211110 is an abundant number, since it is smaller than the sum of its proper divisors (211290198234).

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

121002211110 is a wasteful number, since it uses less digits than its factorization.

121002211110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 210958.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 121002211110 its reverse (11112200121), we get a palindrome (132114411231).

The spelling of 121002211110 in words is "one hundred twenty-one billion, two million, two hundred eleven thousand, one hundred ten".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 37 47 55 66 74 94 110 111 141 165 185 222 235 282 330 370 407 470 517 555 705 814 1034 1110 1221 1410 1551 1739 2035 2442 2585 3102 3478 4070 5170 5217 6105 7755 8695 10434 12210 15510 17390 19129 26085 38258 52170 57387 95645 114774 191290 210853 286935 421706 573870 632559 1054265 1265118 2108530 2319383 3162795 4638766 6325590 6958149 7801561 9910091 11596915 13916298 15603122 19820182 23193830 23404683 29730273 34790745 39007805 46809366 49550455 59460546 69581490 78015610 85817171 99100910 109011001 117023415 148651365 171634342 218022002 234046830 257451513 297302730 327033003 366673367 429085855 514903026 545055005 654066006 733346734 858171710 1090110010 1100020101 1287257565 1635165015 1833366835 2200040202 2574515130 3270330030 3666733670 4033407037 5500100505 8066814074 11000201010 12100221111 20167035185 24200442222 40334070370 60501105555 121002211110