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12200210120100 = 2235255773011431
BaseRepresentation
bin1011000110001001010100…
…1100001011110110100100
31121012022212121201222212210
42301202111030023312210
53044342012242320400
641540411003443420
72366302402653402
oct261422514136644
947168777658783
1012200210120100
113984097610382
121450595826570
136a66233ca482
143026c9958472
1516254ea4c950
hexb189530bda4

12200210120100 has 72 divisors (see below), whose sum is σ = 35362649020608. Its totient is φ = 3247548406400.

The previous prime is 12200210120099. The next prime is 12200210120201. The reversal of 12200210120100 is 102101200221.

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 23 ways as a sum of consecutive naturals, for example, 36338616 + ... + 36672815.

It is an arithmetic number, because the mean of its divisors is an integer number (491147903064).

Almost surely, 212200210120100 is an apocalyptic number.

12200210120100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12200210120100 is an abundant number, since it is smaller than the sum of its proper divisors (23162438900508).

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

12200210120100 is a wasteful number, since it uses less digits than its factorization.

12200210120100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73012005 (or 73011998 counting only the distinct ones).

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

Adding to 12200210120100 its reverse (102101200221), we get a palindrome (12302311320321).

The spelling of 12200210120100 in words is "twelve trillion, two hundred billion, two hundred ten million, one hundred twenty thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 557 1114 1671 2228 2785 3342 5570 6684 8355 11140 13925 16710 27850 33420 41775 55700 83550 167100 73011431 146022862 219034293 292045724 365057155 438068586 730114310 876137172 1095171465 1460228620 1825285775 2190342930 3650571550 4380685860 5475857325 7301143100 10951714650 21903429300 40667367067 81334734134 122002101201 162669468268 203336835335 244004202402 406673670670 488008404804 610010506005 813347341340 1016684176675 1220021012010 2033368353350 2440042024020 3050052530025 4066736706700 6100105060050 12200210120100