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122002211021020 = 2251123915749147331
BaseRepresentation
bin11011101111010111011010…
…011100110010000011011100
3120222222022000212001101112221
4123233113122130302003130
5111442341012010133040
61111251013023435124
734461240344102521
oct3357273234620334
9528868025041487
10122002211021020
11359679355918a0
1211824a19755aa4
13530c9b3a80bb5
14221ad1d429148
15e188567ca74a
hex6ef5da7320dc

122002211021020 has 96 divisors (see below), whose sum is σ = 280685139840000. Its totient is φ = 44175710073600.

The previous prime is 122002211020979. The next prime is 122002211021027. The reversal of 122002211021020 is 20120112200221.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 122002211020985 and 122002211021003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122002211021027) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 828008755 + ... + 828156085.

It is an arithmetic number, because the mean of its divisors is an integer number (2923803540000).

Almost surely, 2122002211021020 is an apocalyptic number.

122002211021020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 122002211021020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140342569920000).

122002211021020 is an abundant number, since it is smaller than the sum of its proper divisors (158682928818980).

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

122002211021020 is a wasteful number, since it uses less digits than its factorization.

122002211021020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163339 (or 163337 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 122002211021020 its reverse (20120112200221), we get a palindrome (142122323221241).

The spelling of 122002211021020 in words is "one hundred twenty-two trillion, two billion, two hundred eleven million, twenty-one thousand, twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 220 239 478 956 1195 2390 2629 4780 5258 10516 13145 15749 26290 31498 52580 62996 78745 147331 157490 173239 294662 314980 346478 589324 692956 736655 866195 1473310 1620641 1732390 2946620 3241282 3464780 3764011 6482564 7528022 8103205 15056044 16206410 18820055 32412820 35212109 37640110 41404121 70424218 75280220 82808242 140848436 165616484 176060545 207020605 352121090 387333199 414041210 704242180 774666398 828082420 1549332796 1936665995 2320315919 3873331990 4640631838 7746663980 9281263676 11601579595 23203159190 25523475109 46406318380 51046950218 102093900436 127617375545 255234751090 510469502180 554555504641 1109111009282 2218222018564 2772777523205 5545555046410 6100110551051 11091110092820 12200221102102 24400442204204 30500552755255 61001105510510 122002211021020