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122022220020 = 223589179127657
BaseRepresentation
bin111000110100100010…
…1110101000011110100
3102122221221100000212020
41301221011311003310
53444400142020040
6132020051353140
711546552520411
oct1615105650364
9378857300766
10122022220020
11478273a8a38
121b794bb27b0
13b67814146c
145c97b47108
1532927a6cd0
hex1c691750f4

122022220020 has 96 divisors (see below), whose sum is σ = 347434012800. Its totient is φ = 31993657344.

The previous prime is 122022219997. The next prime is 122022220027. The reversal of 122022220020 is 20022220221.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122022220027) 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, 892032 + ... + 1019688.

It is an arithmetic number, because the mean of its divisors is an integer number (3619104300).

Almost surely, 2122022220020 is an apocalyptic number.

122022220020 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 122022220020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173717006400).

122022220020 is an abundant number, since it is smaller than the sum of its proper divisors (225411792780).

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

122022220020 is a wasteful number, since it uses less digits than its factorization.

122022220020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127937 (or 127935 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 15.

Adding to 122022220020 its reverse (20022220221), we get a palindrome (142044440241).

The spelling of 122022220020 in words is "one hundred twenty-two billion, twenty-two million, two hundred twenty thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 89 178 179 267 356 358 445 534 537 716 890 895 1068 1074 1335 1780 1790 2148 2670 2685 3580 5340 5370 10740 15931 31862 47793 63724 79655 95586 127657 159310 191172 238965 255314 318620 382971 477930 510628 638285 765942 955860 1276570 1531884 1914855 2553140 3829710 7659420 11361473 22722946 22850603 34084419 45445892 45701206 56807365 68168838 68551809 91402412 113614730 114253015 136337676 137103618 170422095 227229460 228506030 274207236 340844190 342759045 457012060 681688380 685518090 1371036180 2033703667 4067407334 6101111001 8134814668 10168518335 12202222002 20337036670 24404444004 30505555005 40674073340 61011110010 122022220020