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122040054 = 23371139229
BaseRepresentation
bin1110100011000…
…10111011110110
322111122021111000
413101202323312
5222220240204
620035424130
73011215623
oct721427366
9274567430
10122040054
1162985554
1234a55046
131c38c666
14122cb34a
15aaaa039
hex7462ef6

122040054 has 64 divisors (see below), whose sum is σ = 278208000. Its totient is φ = 39644640.

The previous prime is 122040053. The next prime is 122040119. The reversal of 122040054 is 450040221.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122040053) 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, 532812 + ... + 533040.

It is an arithmetic number, because the mean of its divisors is an integer number (4347000).

Almost surely, 2122040054 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 122040054, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139104000).

122040054 is an abundant number, since it is smaller than the sum of its proper divisors (156167946).

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

122040054 is a wasteful number, since it uses less digits than its factorization.

122040054 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 450 (or 444 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

The square root of 122040054 is about 11047.1740277774. The cubic root of 122040054 is about 496.0218377265.

Adding to 122040054 its reverse (450040221), we get a palindrome (572080275).

The spelling of 122040054 in words is "one hundred twenty-two million, forty thousand, fifty-four".

Divisors: 1 2 3 6 9 18 27 54 71 139 142 213 229 278 417 426 458 639 687 834 1251 1278 1374 1917 2061 2502 3753 3834 4122 6183 7506 9869 12366 16259 19738 29607 31831 32518 48777 59214 63662 88821 95493 97554 146331 177642 190986 266463 286479 292662 438993 532926 572958 859437 877986 1718874 2260001 4520002 6780003 13560006 20340009 40680018 61020027 122040054