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121000120022100 = 223521159621469543
BaseRepresentation
bin11011100000110010001001…
…001010111111010001010100
3120212102111110102001012210110
4123200302021022333101110
5111324431221211201400
61105202404315523020
734325653526125644
oct3340621112772124
9525374412035713
10121000120022100
1135610954316520
12116a2773459470
1352693545294b7
1421c46193da524
15dec7566c8e50
hex6e0c892bf454

121000120022100 has 144 divisors (see below), whose sum is σ = 388393606218240. Its totient is φ = 28836186748800.

The previous prime is 121000120022059. The next prime is 121000120022101. The reversal of 121000120022100 is 1220021000121.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121000120022101) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 310540072 + ... + 310929471.

It is an arithmetic number, because the mean of its divisors is an integer number (2697177820960).

Almost surely, 2121000120022100 is an apocalyptic number.

121000120022100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

121000120022100 is an abundant number, since it is smaller than the sum of its proper divisors (267393486196140).

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

121000120022100 is a wasteful number, since it uses less digits than its factorization.

121000120022100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 621469630 (or 621469623 counting only the distinct ones).

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

Adding to 121000120022100 its reverse (1220021000121), we get a palindrome (122220141022221).

The spelling of 121000120022100 in words is "one hundred twenty-one trillion, one hundred twenty million, twenty-two thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 25 30 33 44 50 55 59 60 66 75 100 110 118 132 150 165 177 220 236 275 295 300 330 354 550 590 649 660 708 825 885 1100 1180 1298 1475 1650 1770 1947 2596 2950 3245 3300 3540 3894 4425 5900 6490 7788 8850 9735 12980 16225 17700 19470 32450 38940 48675 64900 97350 194700 621469543 1242939086 1864408629 2485878172 3107347715 3728817258 6214695430 6836164973 7457634516 9322043145 12429390860 13672329946 15536738575 18644086290 20508494919 27344659892 31073477150 34180824865 36666703037 37288172580 41016989838 46610215725 62146954300 68361649730 73333406074 82033979676 93220431450 102542474595 110000109111 136723299460 146666812148 170904124325 183333515185 186440862900 205084949190 220000218222 341808248650 366667030370 403333733407 410169898380 440000436444 512712372975 550000545555 683616497300 733334060740 806667466814 916667575925 1025424745950 1100001091110 1210001200221 1613334933628 1833335151850 2016668667035 2050849491900 2200002182220 2420002400442 2750002727775 3666670303700 4033337334070 4840004800884 5500005455550 6050006001105 8066674668140 10083343335175 11000010911100 12100012002210 20166686670350 24200024004420 30250030005525 40333373340700 60500060011050 121000120022100