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121119948230100 = 223528328371714577
BaseRepresentation
bin11011100010100001101111…
…011111010100110111010100
3120212211221202102221212222020
4123202201233133110313110
5111333412123221330400
61105333422554133140
734340425141110021
oct3342415737246724
9525757672855866
10121119948230100
1135657755204786
1211701a357211b0
13527773cc549a1
1421ca3459c4548
15e0091b5482a0
hex6e286f7d4dd4

121119948230100 has 144 divisors (see below), whose sum is σ = 354787777003968. Its totient is φ = 31898246236160.

The previous prime is 121119948230069. The next prime is 121119948230153. The reversal of 121119948230100 is 1032849911121.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 69784012 + ... + 71498588.

It is an arithmetic number, because the mean of its divisors is an integer number (2463804006972).

Almost surely, 2121119948230100 is an apocalyptic number.

121119948230100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 121119948230100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177393888501984).

121119948230100 is an abundant number, since it is smaller than the sum of its proper divisors (233667828773868).

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

121119948230100 is a wasteful number, since it uses less digits than its factorization.

121119948230100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1717514 (or 1717507 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 42.

The spelling of 121119948230100 in words is "one hundred twenty-one trillion, one hundred nineteen billion, nine hundred forty-eight million, two hundred thirty thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 83 100 150 166 249 300 332 415 498 830 996 1245 1660 2075 2490 2837 4150 4980 5674 6225 8300 8511 11348 12450 14185 17022 24900 28370 34044 42555 56740 70925 85110 141850 170220 212775 235471 283700 425550 470942 706413 851100 941884 1177355 1412826 1714577 2354710 2825652 3429154 3532065 4709420 5143731 5886775 6858308 7064130 8572885 10287462 11773550 14128260 17145770 17660325 20574924 23547100 25718655 34291540 35320650 42864425 51437310 70641300 85728850 102874620 128593275 142309891 171457700 257186550 284619782 426929673 514373100 569239564 711549455 853859346 1423098910 1707718692 2134648365 2846197820 3557747275 4269296730 4864254949 7115494550 8538593460 9728509898 10673241825 14230989100 14592764847 19457019796 21346483650 24321274745 29185529694 42692967300 48642549490 58371059388 72963824235 97285098980 121606373725 145927648470 243212747450 291855296940 364819121175 403733160767 486425494900 729638242350 807466321534 1211199482301 1459276484700 1614932643068 2018665803835 2422398964602 4037331607670 4844797929204 6055997411505 8074663215340 10093329019175 12111994823010 20186658038350 24223989646020 30279987057525 40373316076700 60559974115050 121119948230100