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122137740 = 22335376113
BaseRepresentation
bin1110100011110…
…10110010001100
322111211020111000
413101322302030
5222231401430
620041500300
73012103464
oct721726214
9274736430
10122137740
1162a4198a
1234aa1690
131c3c4c6a
1412314ba4
15aac8e60
hex747ac8c

122137740 has 96 divisors (see below), whose sum is σ = 390317760. Its totient is φ = 31684608.

The previous prime is 122137733. The next prime is 122137753. The reversal of 122137740 is 47731221.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 16924 + ... + 23036.

It is an arithmetic number, because the mean of its divisors is an integer number (4065810).

Almost surely, 2122137740 is an apocalyptic number.

122137740 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 122137740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195158880).

122137740 is an abundant number, since it is smaller than the sum of its proper divisors (268180020).

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

122137740 is a wasteful number, since it uses less digits than its factorization.

122137740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6168 (or 6160 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 27.

The square root of 122137740 is about 11051.5944551001. The cubic root of 122137740 is about 496.1541480216.

Adding to 122137740 its reverse (47731221), we get a palindrome (169868961).

The spelling of 122137740 in words is "one hundred twenty-two million, one hundred thirty-seven thousand, seven hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 37 45 54 60 74 90 108 111 135 148 180 185 222 270 333 370 444 540 555 666 740 999 1110 1332 1665 1998 2220 3330 3996 4995 6113 6660 9990 12226 18339 19980 24452 30565 36678 55017 61130 73356 91695 110034 122260 165051 183390 220068 226181 275085 330102 366780 452362 550170 660204 678543 825255 904724 1100340 1130905 1357086 1650510 2035629 2261810 2714172 3301020 3392715 4071258 4523620 6106887 6785430 8142516 10178145 12213774 13570860 20356290 24427548 30534435 40712580 61068870 122137740