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122138772 = 22372207719
BaseRepresentation
bin1110100011110…
…11000010010100
322111211021220020
413101323002110
5222231420042
620041505140
73012106500
oct721730224
9274737806
10122138772
1162a42738
1234aa21b0
131c3c5582
1412315300
15aac93ec
hex747b094

122138772 has 36 divisors (see below), whose sum is σ = 331521120. Its totient is φ = 34896624.

The previous prime is 122138771. The next prime is 122138831. The reversal of 122138772 is 277831221.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122138771) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 103272 + ... + 104447.

It is an arithmetic number, because the mean of its divisors is an integer number (9208920).

Almost surely, 2122138772 is an apocalyptic number.

122138772 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

122138772 is an abundant number, since it is smaller than the sum of its proper divisors (209382348).

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

122138772 is a wasteful number, since it uses less digits than its factorization.

122138772 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 207740 (or 207731 counting only the distinct ones).

The product of its digits is 9408, while the sum is 33.

The square root of 122138772 is about 11051.6411450970. The cubic root of 122138772 is about 496.1555454320.

Adding to 122138772 its reverse (277831221), we get a palindrome (399969993).

It can be divided in two parts, 1221 and 38772, that added together give a palindrome (39993).

The spelling of 122138772 in words is "one hundred twenty-two million, one hundred thirty-eight thousand, seven hundred seventy-two".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 49 84 98 147 196 294 588 207719 415438 623157 830876 1246314 1454033 2492628 2908066 4362099 5816132 8724198 10178231 17448396 20356462 30534693 40712924 61069386 122138772