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122133120031020 = 223571453200132927
BaseRepresentation
bin11011110001010001010101…
…001111000001100100101100
3121000102210221010110010110210
4123301101111033001210230
5112002012112211443040
61111431103014102420
734503553366243020
oct3361212517014454
9530383833403423
10122133120031020
1135a0840228765a
121184627294aa10
13531c147085167
1422233bb518380
15e1be6934a480
hex6f14553c192c

122133120031020 has 96 divisors (see below), whose sum is σ = 391094964707328. Its totient is φ = 27896928820992.

The previous prime is 122133120030967. The next prime is 122133120031061. The reversal of 122133120031020 is 20130021331221.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 99456204 + ... + 100676723.

It is an arithmetic number, because the mean of its divisors is an integer number (4073905882368).

Almost surely, 2122133120031020 is an apocalyptic number.

122133120031020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122133120031020 is an abundant number, since it is smaller than the sum of its proper divisors (268961844676308).

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

122133120031020 is a wasteful number, since it uses less digits than its factorization.

122133120031020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 200134399 (or 200134397 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 122133120031020 its reverse (20130021331221), we get a palindrome (142263141362241).

The spelling of 122133120031020 in words is "one hundred twenty-two trillion, one hundred thirty-three billion, one hundred twenty million, thirty-one thousand, twenty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 140 210 420 1453 2906 4359 5812 7265 8718 10171 14530 17436 20342 21795 29060 30513 40684 43590 50855 61026 87180 101710 122052 152565 203420 305130 610260 200132927 400265854 600398781 800531708 1000664635 1200797562 1400930489 2001329270 2401595124 2801860978 3001993905 4002658540 4202791467 5603721956 6003987810 7004652445 8405582934 12007975620 14009304890 16811165868 21013957335 28018609780 42027914670 84055829340 290793142931 581586285862 872379428793 1163172571724 1453965714655 1744758857586 2035552000517 2907931429310 3489517715172 4071104001034 4361897143965 5815862858620 6106656001551 8142208002068 8723794287930 10177760002585 12213312003102 17447588575860 20355520005170 24426624006204 30533280007755 40711040010340 61066560015510 122133120031020