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12212000102100 = 22352101403036307
BaseRepresentation
bin1011000110110101001111…
…1011011001011011010100
31121020110022021200010200210
42301231103323121123110
53100040134011231400
641550040532005420
72400200514106641
oct261552373313324
947213267603623
1012212000102100
113989097767357
121452926160870
136a7781baab96
143030c7706dc8
151629deb35950
hexb1b53ed96d4

12212000102100 has 72 divisors (see below), whose sum is σ = 35683222565088. Its totient is φ = 3224290448000.

The previous prime is 12212000102083. The next prime is 12212000102123. The reversal of 12212000102100 is 120100021221.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 201487854 + ... + 201548453.

It is an arithmetic number, because the mean of its divisors is an integer number (495600313404).

Almost surely, 212212000102100 is an apocalyptic number.

12212000102100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12212000102100 is an abundant number, since it is smaller than the sum of its proper divisors (23471222462988).

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

12212000102100 is a wasteful number, since it uses less digits than its factorization.

12212000102100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 403036425 (or 403036418 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 12212000102100 its reverse (120100021221), we get a palindrome (12332100123321).

The spelling of 12212000102100 in words is "twelve trillion, two hundred twelve billion, one hundred two thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 101 150 202 300 303 404 505 606 1010 1212 1515 2020 2525 3030 5050 6060 7575 10100 15150 30300 403036307 806072614 1209108921 1612145228 2015181535 2418217842 4030363070 4836435684 6045544605 8060726140 10075907675 12091089210 20151815350 24182178420 30227723025 40303630700 40706667007 60455446050 81413334014 120910892100 122120001021 162826668028 203533335035 244240002042 407066670070 488480004084 610600005105 814133340140 1017666675175 1221200010210 2035333350350 2442400020420 3053000025525 4070666700700 6106000051050 12212000102100