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122012211020 = 225723111733923
BaseRepresentation
bin111000110100001111…
…1101001011101001100
3102122221020111112002112
41301220133221131030
53444340111223040
6132015053043152
711546401452560
oct1615037513514
9378836445075
10122012211020
1147821792037
121b7917864b8
13b67604878b
145c9669d6a0
15329197b365
hex1c687e974c

122012211020 has 96 divisors (see below), whose sum is σ = 305843586048. Its totient is φ = 39976941312.

The previous prime is 122012210987. The next prime is 122012211071. The reversal of 122012211020 is 20112210221.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 122012210986 and 122012211004.

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, 3579779 + ... + 3613701.

It is an arithmetic number, because the mean of its divisors is an integer number (3185870688).

Almost surely, 2122012211020 is an apocalyptic number.

122012211020 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 122012211020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152921793024).

122012211020 is an abundant number, since it is smaller than the sum of its proper divisors (183831375028).

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

122012211020 is a wasteful number, since it uses less digits than its factorization.

122012211020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35079 (or 35077 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 122012211020 its reverse (20112210221), we get a palindrome (142124421241).

The spelling of 122012211020 in words is "one hundred twenty-two billion, twelve million, two hundred eleven thousand, twenty".

Divisors: 1 2 4 5 7 10 14 20 23 28 35 46 70 92 115 140 161 230 322 460 644 805 1117 1610 2234 3220 4468 5585 7819 11170 15638 22340 25691 31276 33923 39095 51382 67846 78190 102764 128455 135692 156380 169615 179837 237461 256910 339230 359674 474922 513820 678460 719348 780229 899185 949844 1187305 1560458 1798370 2374610 3120916 3596740 3901145 4749220 5461603 7802290 10923206 15604580 21846412 27308015 37891991 54616030 75783982 109232060 151567964 189459955 265243937 378919910 530487874 757839820 871515793 1060975748 1326219685 1743031586 2652439370 3486063172 4357578965 5304878740 6100610551 8715157930 12201221102 17430315860 24402442204 30503052755 61006105510 122012211020