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102212012120000 = 265410125300003
BaseRepresentation
bin10111001111011000010110…
…101011001001011111000000
3111101220101001212100222121112
4113033120112223021133000
5101344120200100320000
61001215314455142452
730346400642010326
oct2717302653113700
9441811055328545
10102212012120000
112a6279641a8762
12b569458074a28
1345057225157a3
141b35132c37d16
15bc3b80588235
hex5cf616ac97c0

102212012120000 has 140 divisors (see below), whose sum is σ = 255962012668296. Its totient is φ = 40480003200000.

The previous prime is 102212012119913. The next prime is 102212012120003. The reversal of 102212012120000 is 21210212201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102212012120003) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 8610002 + ... + 16690001.

Almost surely, 2102212012120000 is an apocalyptic number.

102212012120000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102212012120000 is an abundant number, since it is smaller than the sum of its proper divisors (153750000548296).

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

102212012120000 is an equidigital number, since it uses as much as digits as its factorization.

102212012120000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25300136 (or 25300111 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 102212012120000 its reverse (21210212201), we get a palindrome (102233222332201).

The spelling of 102212012120000 in words is "one hundred two trillion, two hundred twelve billion, twelve million, one hundred twenty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 101 125 160 200 202 250 320 400 404 500 505 625 800 808 1000 1010 1250 1600 1616 2000 2020 2500 2525 3232 4000 4040 5000 5050 6464 8000 8080 10000 10100 12625 16160 20000 20200 25250 32320 40000 40400 50500 63125 80800 101000 126250 161600 202000 252500 404000 505000 808000 1010000 2020000 4040000 25300003 50600006 101200012 126500015 202400024 253000030 404800048 506000060 632500075 809600096 1012000120 1265000150 1619200192 2024000240 2530000300 2555300303 3162500375 4048000480 5060000600 5110600606 6325000750 8096000960 10120001200 10221201212 12650001500 12776501515 15812501875 20240002400 20442402424 25300003000 25553003030 31625003750 40480004800 40884804848 50600006000 51106006060 63250007500 63882507575 81769609696 101200012000 102212012120 126500015000 127765015150 163539219392 202400024000 204424024240 253000030000 255530030300 319412537875 408848048480 506000060000 511060060600 638825075750 817696096960 1012000120000 1022120121200 1277650151500 1597062689375 2044240242400 2555300303000 3194125378750 4088480484800 5110600606000 6388250757500 10221201212000 12776501515000 20442402424000 25553003030000 51106006060000 102212012120000