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121020022111110 = 235731271912278117
BaseRepresentation
bin11011100001000100101011…
…011011011011101110000110
3120212111101211102100002102020
4123201010223123123232012
5111330243001130023420
61105215455230424010
734330256652111033
oct3341045333335606
9525441742302366
10121020022111110
1135619337550571
12116a65a8662006
13526b1a6842425
1421c55866b638a
15ded01da54340
hex6e112b6dbb86

121020022111110 has 128 divisors (see below), whose sum is σ = 298298885013504. Its totient is φ = 31413943895040.

The previous prime is 121020022111091. The next prime is 121020022111117. The reversal of 121020022111110 is 11111220020121.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 121020022111110.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121020022111117) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 51983772 + ... + 54261888.

It is an arithmetic number, because the mean of its divisors is an integer number (2330460039168).

Almost surely, 2121020022111110 is an apocalyptic number.

121020022111110 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 121020022111110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149149442506752).

121020022111110 is an abundant number, since it is smaller than the sum of its proper divisors (177278862902394).

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

121020022111110 is a wasteful number, since it uses less digits than its factorization.

121020022111110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2278518.

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 121020022111110 its reverse (11111220020121), we get a palindrome (132131242131231).

The spelling of 121020022111110 in words is "one hundred twenty-one trillion, twenty billion, twenty-two million, one hundred eleven thousand, one hundred ten".

Divisors: 1 2 3 5 6 10 15 30 73 127 146 191 219 254 365 381 382 438 573 635 730 762 955 1095 1146 1270 1905 1910 2190 2865 3810 5730 9271 13943 18542 24257 27813 27886 41829 46355 48514 55626 69715 72771 83658 92710 121285 139065 139430 145542 209145 242570 278130 363855 418290 727710 1770761 2278117 3541522 4556234 5312283 6834351 8853805 10624566 11390585 13668702 17707610 22781170 26561415 34171755 53122830 68343510 166302541 289320859 332605082 435120347 498907623 578641718 831512705 867962577 870240694 997815246 1305361041 1446604295 1663025410 1735925154 2175601735 2494538115 2610722082 2893208590 4339812885 4351203470 4989076230 6526805205 8679625770 13053610410 21120422707 31763785331 42240845414 55260284069 63361268121 63527570662 95291355993 105602113535 110520568138 126722536242 158818926655 165780852207 190582711986 211204227070 276301420345 316806340605 317637853310 331561704414 476456779965 552602840690 633612681210 828904261035 952913559930 1657808522070 4034000737037 8068001474074 12102002211111 20170003685185 24204004422222 40340007370370 60510011055555 121020022111110