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12210002121000 = 2335319421209567
BaseRepresentation
bin1011000110101101110011…
…0101101101000100101000
31121020021011001010011212210
42301223130311231010220
53100022041020333000
641545110400205120
72400100143414105
oct261533465550450
947207131104783
1012210002121000
113988261979602
1214524690097a0
136a7523c8c748
14302d78215aac
15162924521350
hexb1adcd6d128

12210002121000 has 128 divisors (see below), whose sum is σ = 38097349954560. Its totient is φ = 3255817376000.

The previous prime is 12210002120999. The next prime is 12210002121041. The reversal of 12210002121000 is 12120001221.

12210002121000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 58158217 + ... + 58367783.

It is an arithmetic number, because the mean of its divisors is an integer number (297635546520).

Almost surely, 212210002121000 is an apocalyptic number.

12210002121000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12210002121000 is an abundant number, since it is smaller than the sum of its proper divisors (25887347833560).

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

12210002121000 is a wasteful number, since it uses less digits than its factorization.

12210002121000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 229012 (or 228998 counting only the distinct ones).

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

Adding to 12210002121000 its reverse (12120001221), we get a palindrome (12222122122221).

The spelling of 12210002121000 in words is "twelve trillion, two hundred ten billion, two million, one hundred twenty-one thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 125 150 200 250 300 375 500 600 750 1000 1500 3000 19421 38842 58263 77684 97105 116526 155368 194210 209567 233052 291315 388420 419134 466104 485525 582630 628701 776840 838268 971050 1047835 1165260 1257402 1456575 1676536 1942100 2095670 2330520 2427625 2514804 2913150 3143505 3884200 4191340 4855250 5029608 5239175 5826300 6287010 7282875 8382680 9710500 10478350 11652600 12574020 14565750 15717525 19421000 20956700 25148040 26195875 29131500 31435050 41913400 52391750 58263000 62870100 78587625 104783500 125740200 157175250 209567000 314350500 628701000 4070000707 8140001414 12210002121 16280002828 20350003535 24420004242 32560005656 40700007070 48840008484 61050010605 81400014140 97680016968 101750017675 122100021210 162800028280 203500035350 244200042420 305250053025 407000070700 488400084840 508750088375 610500106050 814000141400 1017500176750 1221000212100 1526250265125 2035000353500 2442000424200 3052500530250 4070000707000 6105001060500 12210002121000