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121000122120 = 23351953070229
BaseRepresentation
bin111000010110000101…
…0110101011100001000
3102120022201002002010110
41300230022311130020
53440302012401440
6131330420314320
711512332032223
oct1605412653410
9376281062113
10121000122120
1147352461729
121b54a8429a0
13b544467cc7
145bdc0c65ba
153232bad080
hex1c2c2b5708

121000122120 has 64 divisors (see below), whose sum is σ = 382105656000. Its totient is φ = 30568451328.

The previous prime is 121000122119. The next prime is 121000122121. The reversal of 121000122120 is 21221000121.

It is an interprime number because it is at equal distance from previous prime (121000122119) and next prime (121000122121).

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

It is a junction number, because it is equal to n+sod(n) for n = 121000122096 and 121000122105.

It is not an unprimeable number, because it can be changed into a prime (121000122121) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26532835 + ... + 26537394.

It is an arithmetic number, because the mean of its divisors is an integer number (5970400875).

Almost surely, 2121000122120 is an apocalyptic number.

121000122120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

121000122120 is an abundant number, since it is smaller than the sum of its proper divisors (261105533880).

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

121000122120 is a wasteful number, since it uses less digits than its factorization.

121000122120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53070262 (or 53070258 counting only the distinct ones).

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

Adding to 121000122120 its reverse (21221000121), we get a palindrome (142221122241).

The spelling of 121000122120 in words is "one hundred twenty-one billion, one hundred twenty-two thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 19 20 24 30 38 40 57 60 76 95 114 120 152 190 228 285 380 456 570 760 1140 2280 53070229 106140458 159210687 212280916 265351145 318421374 424561832 530702290 636842748 796053435 1008334351 1061404580 1273685496 1592106870 2016668702 2122809160 3025003053 3184213740 4033337404 5041671755 6050006106 6368427480 8066674808 10083343510 12100012212 15125015265 20166687020 24200024424 30250030530 40333374040 60500061060 121000122120