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122000120102020 = 225173131146402181
BaseRepresentation
bin11011101111010101011101…
…110100100011110010000100
3120222222002122010121200220111
4123233111131310203302010
5111442322221221231040
61111250025332042404
734461134464426666
oct3357253564436204
9528862563550814
10122000120102020
1135966a62296466
1211824535463404
13530c73c822514
14221aba1864536
15e18782e58dea
hex6ef55dd23c84

122000120102020 has 48 divisors (see below), whose sum is σ = 272137535571888. Its totient is φ = 45782717460480.

The previous prime is 122000120101997. The next prime is 122000120102027. The reversal of 122000120102020 is 20201021000221.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 1618452129856 + 120381667972164 = 1272184^2 + 10971858^2 .

It is not an unprimeable number, because it can be changed into a prime (122000120102027) 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, 573094671 + ... + 573307510.

It is an arithmetic number, because the mean of its divisors is an integer number (5669531991081).

Almost surely, 2122000120102020 is an apocalyptic number.

122000120102020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122000120102020 is an abundant number, since it is smaller than the sum of its proper divisors (150137415469868).

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

122000120102020 is a wasteful number, since it uses less digits than its factorization.

122000120102020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1146402520 (or 1146402518 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 122000120102020 its reverse (20201021000221), we get a palindrome (142201141102241).

The spelling of 122000120102020 in words is "one hundred twenty-two trillion, one hundred twenty million, one hundred two thousand, twenty".

Divisors: 1 2 4 5 10 17 20 34 68 85 170 313 340 626 1252 1565 3130 5321 6260 10642 21284 26605 53210 106420 1146402181 2292804362 4585608724 5732010905 11464021810 19488837077 22928043620 38977674154 77955348308 97444185385 194888370770 358823882653 389776741540 717647765306 1435295530612 1794119413265 3588238826530 6100006005101 7176477653060 12200012010202 24400024020404 30500030025505 61000060051010 122000120102020