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12001101222100 = 2252839187776207
BaseRepresentation
bin1010111010100011100101…
…1000000001000011010100
31120111021221101012222112011
42232220321120001003110
53033111223403101400
641305121345034004
72346023322155404
oct256507130010324
946437841188464
1012001101222100
113907702854311
121419a88625904
136909118aa8b3
142d6bdbd58804
1515c2999488ba
hexaea396010d4

12001101222100 has 72 divisors (see below), whose sum is σ = 26087662782720. Its totient is φ = 4792101525120.

The previous prime is 12001101222073. The next prime is 12001101222127. The reversal of 12001101222100 is 122210110021.

It is an interprime number because it is at equal distance from previous prime (12001101222073) and next prime (12001101222127).

It is a super-2 number, since 2×120011012221002 (a number of 27 digits) contains 22 as substring.

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, 157442197 + ... + 157518403.

It is an arithmetic number, because the mean of its divisors is an integer number (362328649760).

Almost surely, 212001101222100 is an apocalyptic number.

12001101222100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12001101222100 is an abundant number, since it is smaller than the sum of its proper divisors (14086561560620).

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

12001101222100 is a wasteful number, since it uses less digits than its factorization.

12001101222100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78937 (or 78930 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 12001101222100 its reverse (122210110021), we get a palindrome (12123311332121).

The spelling of 12001101222100 in words is "twelve trillion, one billion, one hundred one million, two hundred twenty-two thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 839 1678 1877 3356 3754 4195 7508 8390 9385 16780 18770 20975 37540 41950 46925 76207 83900 93850 152414 187700 304828 381035 762070 1524140 1574803 1905175 3149606 3810350 6299212 7620700 7874015 15748030 31496060 39370075 63937673 78740150 127875346 143040539 157480300 255750692 286081078 319688365 572162156 639376730 715202695 1278753460 1430405390 1598441825 2860810780 3196883650 3576013475 6393767300 7152026950 14304053900 120011012221 240022024442 480044048884 600055061105 1200110122210 2400220244420 3000275305525 6000550611050 12001101222100