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121000000000920 = 233519229231747491
BaseRepresentation
bin11011100000110010000010…
…000001001001001110011000
3120212102111011001012111200120
4123200302002001021032120
5111324431000000012140
61105202344351233240
734325650541015655
oct3340620201111630
9525374131174616
10121000000000920
11356108a259a867
12116a273b218820
1352693356c5a51
1421c46074b6c2c
15dec74adbc1d0
hex6e0c82049398

121000000000920 has 128 divisors (see below), whose sum is σ = 383773846752000. Its totient is φ = 30434934366720.

The previous prime is 121000000000907. The next prime is 121000000000921. The reversal of 121000000000920 is 29000000000121.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 121000000000920.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121000000000921) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 115351626 + ... + 116395865.

It is an arithmetic number, because the mean of its divisors is an integer number (2998233177750).

Almost surely, 2121000000000920 is an apocalyptic number.

121000000000920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

121000000000920 is an abundant number, since it is smaller than the sum of its proper divisors (262773846751080).

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

121000000000920 is a wasteful number, since it uses less digits than its factorization.

121000000000920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 231747753 (or 231747749 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

The spelling of 121000000000920 in words is "one hundred twenty-one trillion, nine hundred twenty", and thus it is an aban number.

Divisors: 1 2 3 4 5 6 8 10 12 15 19 20 24 30 38 40 57 60 76 95 114 120 152 190 228 229 285 380 456 458 570 687 760 916 1140 1145 1374 1832 2280 2290 2748 3435 4351 4580 5496 6870 8702 9160 13053 13740 17404 21755 26106 27480 34808 43510 52212 65265 87020 104424 130530 174040 261060 522120 231747491 463494982 695242473 926989964 1158737455 1390484946 1853979928 2317474910 2780969892 3476212365 4403202329 4634949820 5561939784 6952424730 8806404658 9269899640 13209606987 13904849460 17612809316 22016011645 26419213974 27809698920 35225618632 44032023290 52838427948 53070175439 66048034935 88064046580 105676855896 106140350878 132096069870 159210526317 176128093160 212280701756 264192139740 265350877195 318421052634 424561403512 528384279480 530701754390 636842105268 796052631585 1008333333341 1061403508780 1273684210536 1592105263170 2016666666682 2122807017560 3025000000023 3184210526340 4033333333364 5041666666705 6050000000046 6368421052680 8066666666728 10083333333410 12100000000092 15125000000115 20166666666820 24200000000184 30250000000230 40333333333640 60500000000460 121000000000920